You can't use JomSocial's Facebook Connect integration with JFBConnect. There can only be one extension trying to perform registrations/logins and communication with Facebook. In the left sidebar, it looks like your using JomSocial's blue button, which is re-including the Facebook API as well as using a different App key, which will be confusing the heck out of Facebook.
You'll want to remove the App key from the Facebook Connect tab in JomSocial, which should fix the issues mentioned above. You can either then user our JFBCLogin module in your sidebar, or add {JFBCLogin} to the login module's template that you're using to get our blue login button there.
Hope that helps, but if you still have issues, just let us know!
Alex
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