Please upgrade your version of JFBConnect. It sounds like you're using an older version which has some issues with Jooma 3.3.x. We don't recommend v6.0.x on Joomla 3.3, and you should only use JFBConnect v6.1.0 or higher on that release.
I hope that helps answer your questions, but if you have any others, just let me know.
Thanks,
Alex