Have just spent a good deal of time on the following with my iPad Air...
Reset & restore of ios7.0.4
Manually loading all my apps
All was going fine (and I mean stable, really stable) until I went to the Facebook section in "Settings", whereupon I entered my details, and enabled the calendar, contacts etc...
Then, within 10 mins everything went pear-shaped... Multiple reboots, and it got to the stage where I would reboot, then slide to unlock... Freeze, then reboot again...
Just did a restore from my backup this morning (prior to enabling the Facebook settings), restore of apps... So far so good... Will monitor and advise...
Cheers