You built the code yourself using checkin code since July 2014. and some of your jQuery doesn't work quite right any more - you might be seeing script errors regarding "$.browser" (see http://jquery.com/upgrade-guide/1.9/ )
Your jQuery plugin probably needs to be updated to be compatible with jQuery 1.9+ or use the migrate libraries or use an earlier version of jQuery .
Add or edit the included jquerybasic tag to your template <carrot:jquerybasic runat="server" ID="jquerybasic1" UseJqueryMigrate="true" /> Setting UseJqueryMigrate="true" will include a current version of the jquery migration library.
You could also specify an earlier version of jQuery such as version 1.7
<carrot:jquerybasic runat="server" ID="jquerybasic1" JQVersion="1.7" />
Note: remove other includes of the jQuery library you may have made (include only one copy of jQuery and jQuery UI on the page).?