The Javascript that JFBConnect requires is not being loaded on the page. You have JCH optimize enabled which is trying to compress all the Javascript together into a file. JCH loads the PHP file media/plg_jchoptimize/assets2/jscss.php which is what's supposed to compress everything. However, you can see in the console that that file is throwing a Javascript error.. followed by a bunch of other Javascript errors for jfbconnect, joms (JomSocial), SqueezeBox and more:
You'll need to start with fixing, or disabling, JCH Optimize which should clear up your Javascript errors and hopefully get things working.
I hope that helps,
Alex