As you say, your 'juicebox.js' file is, indeed, in two locations on your web server and you can view them both in a browser to confirm this:
http://ozielgrandchapternj.org/jbcore/juicebox.js
http://ozielgrandchapternj.org/web/jbcore/juicebox.js

In terms of embedding a gallery, it does not matter where the 'jbcore' folder is on your web server as long as the path to the 'juicebox.js' file within your gallery's embedding code is correct.
On your '2014_gallery_COTY.asp' page on your web server, the path to the 'juicebox.js' file is incorrect.
You currently use:

<script src="web/images/COTY/jbcore/juicebox.js"></script>

... but there is no 'juicebox.js' file in that location (http://ozielgrandchapternj.org/web/imag … uicebox.js) on your web server.

It looks like you have uploaded a complete gallery to your http://ozielgrandchapternj.org/web/ directory.

If you do the following, your gallery will display OK.

(1) Remove the 'jbcore' folder from the root of your web space (it is not required as you can use the 'jbcore' folder within your 'web' directory).

(2) On your '2014_gallery_COTY.asp' page, replace:

<script src="web/images/COTY/jbcore/juicebox.js"></script>
<script>
new juicebox({
baseUrl : 'web/images/COTY/',
containerId: "juicebox-container",
galleryWidth: "100%",
galleryHeight: "100%",
backgroundColor: "rgba(18,18,18,1)"
});
</script>
<div id="juicebox-container">

... with:

<script src="/web/jbcore/juicebox.js"></script>
<script>
new juicebox({
baseUrl: '/web/',
containerId: 'juicebox-container',
galleryWidth: '100%',
galleryHeight: '100%',
backgroundColor: 'rgba(18,18,18,1)'
});
</script>
<div id="juicebox-container">

(3) The paths to the main images (the imageURLs) are incorrect in your gallery's XML file. Open your http://ozielgrandchapternj.org/web/config.xml file in a plain text editor and change the paths in the imageURLs from:

imageURL="web/images/COTY/DSC_0018.jpeg"

... to:

imageURL="images/DSC_0018.jpeg"

Following the above steps will have the same result as if you had created a gallery with JuiceboxBuilder-Pro, named the gallery folder 'web', uploaded the complete gallery folder to your web server and embedded the gallery in a web page using the baseUrl method of embedding as documented here.

If you just replace the embedding code as in Step #2 above and upload a complete gallery folder (created by JuiceboxBuilder-Pro with no modifications to any files afterwards) named 'web' to the root directory of your web server, this would also work fine.

I hope this helps.