I don't know what exactly "gallery-box" or "manage box" are and how they relate to each other. But jQuery is rather chaotic in environments where functionality is provided by different developers, which are happy to include libraries like jQuery and junk, but don't bother creating unique namespace to avoid conflicts.

The jQuery is being constantly developed and as such it adds or drops functionality. Meaning what is written for older jQuery won't work with newer or vice versa. There is still way to run multiple versions of jQuery on the same page. But that needs access to inclusion code and some javascript knowledge. Also it does enlarge page download size significantly. http://api.jquery.com/jQuery.noConflict/

Best approach is to update everything to use just the latest jQuery version and let DNN include it just once or include it in your skin and disable inclusion for all 3rd party modules so you don't end up with conflicts.