Can you be a lot more specific. Please let us know:
* What are the exact errors you are seeing?
* When do they happen? Only on logout, or when perform other actions?
* Do you have to be logged in with Facebook, or does the problem happen all the time?
As for things to try, please disable all JFBCProfile plugins to see if that helps the situation. If so, re-enable only the profile plugins you need, not all of them.
Hope that helps get you started. Once we have more information, we'll gladly help how we can.
Thanks,
Alex