After an update the iPad sometimes needs a reset before it behaves properly. If you haven't done so give it a try.
Another thing to try is to delete the Facebook app then reinstall it.
Reset: Hold down the power and home buttons until the Apple logo appears. The iPad will reboot. This usually takes a bit longer than a restart.
Note, I've noticed that the FaceBook app has a tendency to crash on opening lately. I think it's the apps fault. It's only a minor annoyance since it always opens on the second try.