Frank,
The issue is that the logging in popup message is failing to display. The reason is because the jQuery library is being included multiple times on the page, and the multiple inclusions are conflicting and preventing that popup from displaying. jQuery is being loaded in the following ways:
* /components/com_adsmanager/js/jquery-1.8.0.min.js
* /modules/mod_adsmanager_ajaxsearch/js/jquery-1.7.2.min.js
* /media/jui/js/jquery.min.js (this is the default Joomla jQuery which all extensions should be using, instead of loading their own)
I'd recommend disabling the other inclusions of jQuery if possible. If you can't do that, the next quick fix is to disable the "Show 'logging in' popup" setting in JFBConnect. That should fix this issue, but you could run into others later as well. Loading jQuery 3 times will also result in slower load times, which is never a good thing, so loading it only once should solve some conflicts and speed your page up.
I hope that helps,
Alex