It sounds like you might be having trouble with WP-Juicebox (the Juicebox plugin for WordPress) and the Visual Composer plugin for WordPress but I can't be sure.
Could you please confirm if this is the case and also explain in detail what the problem is? Thank you.
Is the problem with the creation and/or management of galleries in the WordPress Dashboard or with the visual presentation of the galleries in the front-end of your site?
(Please note that WP-Juicebox does not work in conjunction with any other plugins. It is a standalone plugin which can be used to create a Juicebox gallery in a WordPress page or post. The embedding code is handled internally by the plugin.)

If the problem is with the gallery display, then please check your gallery's web page (using your browser's developer tools) to see if there is any custom CSS which might be interfering with the gallery.
Many WordPress plugins and themes use global CSS rules which might, for example, be applied to all <img> or <div> tags on a web page. If this is the case, then your Juicebox gallery may be inheriting these CSS rules and they may be affecting your gallery's layout or functionality.

Please also check these FAQs to see if any of them describe the problem you are facing and offer a solution.

If you are not using WP-Juicebox but are just trying to embed a Juicebox gallery into a WordPress page manually, then be sure to enter your gallery's embedding code as raw HTML (rather than plain text). Using the regular WordPress editor, you would enter the embedding code in 'Text' mode rather than 'Visual' mode.
I would recommend using the baseUrl method of embedding as documented here.
You can upload your gallery folder to anywhere on your web server as long as the two paths within the baseUrl embedding code (the path to the 'juicebox.js' file and the baseUrl itself, pointing towards the gallery folder) are correct.

If you continue to experience difficulties, then please post back with the URL to your gallery's web page (if the problem is in the front-end of your site) so that I can take a look at the problem for myself and hopefully help further.
If the problem is in the admin section of your site, then please describe what the problem is and provide a screenshot, if possible, so that I can see what you are seeing.

Hopefully my notes above will help.