From what I can see, you are loading both MooTools and jQuery – this is adding complication.
All of your show/hide scripts are referencing $ which is not running in jQuery because you are running it in noconflict() mode. Your code works with plain old jQuery – but the video/lightbox doesn’t. Go through your code and check which pieces of code is jQuery and MooTools.
You may want to re-factor and put all of your code within a jQuery block like: