Which page on your web site are you trying to embed your Juicebox gallery into?
I have checked your main 'Home' page and your 'Wedding Gallery' and 'Portrait Gallery' pages but do not see any Juicebox embedding code on any of these pages.
Please check that you have entered the embedding code correctly and have uploaded your gallery files to your web server following the embedding instructions here.

If you plan to embed multiple galleries to your site, I would recommend using the baseUrl method of embedding as documented here. This allows you to keep each gallery in its own folder on your web server which might help to keeps things organized.

As a Drupal user, you might also be interested in the dedicated Juicebox module for Drupal. It can be downloaded from this web page.
Please note that we did not write this module ourselves and support for the module (if you choose to use it) would be best directed towards the Drupal forum where the author of the module should be able to help you out.

Unfortunately, there is currently a known bug whereby elements which have explicitly been assigned a CSS 'position' are not covered by the fullscreen gallery (they should be). This bug has already been addressed and will be fixed in the next version of Juicebox.

In the meantime, there are a couple of workarounds:
(1) Set useFullscreenExpand="TRUE".
... or:
(2) Set expandInNewPage="TRUE". When the gallery is expanded, it will be displayed on a page of its own rather than on top of the embedding page. Please note that this option is available in Juicebox-Pro only (and not in Juicebox-Lite).

The fullscreen expand functionality seems to work OK in the two demo galleries you quoted in Safari 5.1.7 on my own PC.
Try clearing your browser's cache before reloading the galleries to see if this makes a difference.

Also, do you see the problem in any other browser or just in Safari 5.1.10?
I notice on this web page that Safari 5.1 has only partial support for the Fullscreen API (which Juicebox uses to expand the gallery fullscreen when useFullscreenExpand="TRUE"). Full support for the Fullscreen API was not introduced in Safari until version 6. This may be a contributing factor to your problem.

If you add or remove images to an existing gallery, the only files you need to update on your web server are the 'config.xml' file (which lists the images to be displayed in the gallery) and the images and thumbnails themselves.
There is no need to re-upload the core Juicebox files (the 'jbcore' folder) as these files do not change.
There is also no need to modify the embedding code in your HTML web page.

Perhaps the easiest way to update a gallery is to keep a copy of the gallery on your computer and then edit the gallery (by adding or removing images on the 'Images' tab) in JuiceboxBuilder-Pro. When you re-save the gallery on the 'Publish' tab, a new 'config.xml' file will be created.
You could manually replace the existing 'config.xml' file on your web server and then upload the new images and thumbnails to your gallery's 'images' and 'thumbs' folders but most FTP programs should allow you to drag and drop the entire gallery folder to your web server and upload only new or modified files (to save having to upload all gallery files, including images which are already present on your web server). You could then delete any images from your 'images' and thumbs' folders which are no longer part of your gallery.

I hope this helps.

No, unfortunately not.

At the moment, when viewing your test gallery (http://www.grantsymon.com/testBugs/index.html) I do not see the problem in any browser but the HTTP header from your web page does include the following:

Cache-Control: no-cache

If you do not have this set via an .htaccess file on your web server, then please contact your web host and ask them if they could remove the 'no-cache' setting from your web hosting account.

Hopefully this will solve your problem.

You could set showThumbsOnLoad="TRUE" and then use a JavaScript setTimeout() delay to hide the thumbnails (via the Juicebox-Pro API toggleThumbs() method).
For example:

<!DOCTYPE html>
<html lang="en">
    <head>
        <meta charset="utf-8" />
        <meta name="viewport" id="jb-viewport" content="minimal-ui" />
        <style type="text/css">
            body {
                margin: 0px;
            }
        </style>
        <script type="text/javascript" src="jbcore/juicebox.js"></script>
        <script type="text/javascript">
            var jb = new juicebox({
                containerId: "juicebox-container",
                showThumbsButton: "TRUE",
                showThumbsOnLoad: "TRUE"
            });
            var thumbs = true;
            jb.onInitComplete = function() {
                if (jb.getScreenMode() === "LARGE") {
                    setTimeout(function() {
                        if (thumbs) {
                            jb.toggleThumbs();
                        }
                    }, 3000);
                }
            };
            jb.onShowThumbs = function(showing) {
                thumbs = showing;
            };
        </script>
        <title>Test</title>
    </head>
    <body>
        <div id="juicebox-container"></div>
    </body>
</html>

Using the code above, the thumbnails will toggle after 3 seconds (3000ms) but only in Large Screen Mode and only if the thumbnails are actually visible. If the user clicks the Thumbnail Button within the 3 second delay, the thumbnails will not be toggled (displayed) after the delay is over.

Every Juicebox gallery must have its images listed in an XML file (unless sourced by a Flickr account). It is not possible to list the images in the HTML page containing the embedding code.

You could, however, use a PHP script instead of a static XML file to build the gallery's XML file on the web server at the time the gallery is viewed.
Please see this forum post which has an example of how to display all images within a designated directory.

Hopefully you can use this technique to solve your own problem.

At the moment, JuiceboxBuilder-Pro and Showkase-Pro are the only applications which have individual input fields for all Pro configuration options.

In the Juicebox plugin for Lightroom, Pro Options should be entered into the Pro Options text area, one per line, in the form optionName="optionValue". Please see Step #4 of the 'Upgrading to Juicebox-Pro' section on the plugin's support page here for details.
(Alternatively, you could manually edit the gallery's 'config.xml' file in a plain text editor after your gallery has been created and add Pro Options as attributes to the opening <juiceboxgallery> tag.)

We are currently working on a new Lightroom plugin which will feature all Pro configuration options in the interface (removing the need to type them into the 'Pro Options' text area). I do not know exactly when this will be released but it should hopefully coincide with the next release of Juicebox-Pro.

If you are referring to the order of images from Flickr, then yes, this applies to both Juicebox-Lite and Juicebox-Pro.
Please see this FAQ for more information:
How do I change the order of images from Flickr?

@gotty1

Thank you for your suggestions.
Here are some notes on a couple of your points (which may be more useful to other users reading your post than to yourself).

(3) If JavaScript is not enabled in the user's browser, then what will be displayed on screen in place of the gallery is the browser's rendering of the SEO Content Code (a list of all images in the gallery). You can choose to not include the SEO Content Code by deselecting the 'Add SEO Content' checkbox in JuiceboxBuilder-Pro's 'Customize -> Sharing' section.
Otherwise, you could replace the SEO Content Code with your own 'JavaScript is required.' warning message although this cannot be done on the 'Publish' tab (as you have noted) and must be done after you have pasted the embedding code into a web page.

(5) What you could maybe do is set showOpenButton="TRUE" (in JuiceboxBuilder-Pro's 'Customize -> Lite' section) to display the 'Open Image' button on the Button Bar. When the button is clicked, the image will be displayed in a new browser tab and can be downloaded via the browser's right-click 'Save Image As...' option.
It would be much easier to implement direct download functionality if all browsers supported the HTML 5 'download' attribute but this is not yet the case. Please see here for a list of browsers which currently support this feature.
If you would like to try this (though it will only work in the browsers listed in the link above), you could include a link within each image's caption using the 'download' attribute such as the following:

<caption><![CDATA[<a href="images/wide.jpeg" download="wide.jpg">Click here to download image.</a>]]></caption>

If entering the caption directly into JuiceboxBuilder-Pro (in a 'Caption' text field on the 'Images' tab), you would enter just the following:

<a href="images/wide.jpeg" download="wide.jpg">Click here to download image.</a>

JuiceboxBuilder-Pro will enclose the caption in the <caption> and CDATA tags automatically behind the scenes so there is no need to enter them into JuiceboxBuilder-Pro. (You would need to include them only if entering the caption manually by editing the 'config.xml' file in a plain text editor.)

The href="images/wide.jpeg" part is the path to the file which will be downloaded. You can use an absolute path (such as http://www.example.com/gallery/images/wide.jpeg) or a relative path (as in my example above). If using a relative path, it will be relative to the HTML page containing the gallery's embedding code.

The download="wide.jpeg" part is the name which will be given to the file when the user downloads it. (It does not have to be the same as the image's filename, although it should have the same file extension.)

The Click here to download image. part is the text that will be displayed on screen as the caption which, when clicked, will download the file.

Please remember that this will only work in certain browsers and visitors to your web site using browsers which do not support this HTML 5 attribute (such as Internet Explorer and Safari) may wonder why this feature in your gallery does not work as expected. (You may wish to add a note somewhere on your web page to say that direct download functionality is available only in Firefox, Chrome and Opera.)

I hope this helps.

It looks like your problem may be due to a CSS conflict between some custom CSS code on your web page and the CSS code of the Juicebox gallery itself. Your web page may use some global CSS rules (which apply to all images on your web page including those in your Juicebox gallery) that the gallery has no option but to inherit. Unfortunately, it is not possible to isolate a Juicebox gallery (or any other element) on a web page to prevent it from inheriting global CSS rules.

Please check your CSS to see if you have any rules which are applied to all img tags within your web page's content section (which is where your Juicebox gallery is). It looks like you may have CSS rules which affect image attributes such as borders, margins/padding and possibly maximum-width.

Your web page loads 18 external CSS files so it might take a short while to search through them all but your browser's developer tools, usually accessible by pressing F12, should help. If you find any such rules, then please apply them to only those elements on your web page which require them through use of CSS selectors (ids and classes).

If you see the actual embedding code in your web page rather than the gallery itself, then you may be inserting your gallery's code into your web page as plain text rather than as raw HTML code.
Please check the input mode in your editor.

If you continue to experience difficulties, then please post the URL to your gallery's web page so that I can take a look at your problem for myself and hopefully help further.