Vangelis, 
Here is one thing that happens if I remove either of the files, as opposed to the tabs on top and a single search box. (Schedule View): 
 
Here are the errors I recieve if I remove jquery-ui.min.js 
 
Here are the errors I recieve if I remove jquery.min.js: 
 
I will try remaking the skin, and see what happens, unless you have any other ideas on what could be causing it? I understand the JQuery Syntax, but not much for the actual code, and errors that come with it. So I cant debug this myself. 
Thanks for all the help so far!