Debby,
None of these things worked for us.
We went to the Apple Store and what I suspected needed to be done was correct.
Backup to iCloud.
Restore to factory settings
Download and install all of your content from iCloud.
Facetime immediately worked.
The Apple Store employee said he had seen several people with the same problem and this worked for them. You might backup as much as you can to your computer first, then to iCloud. I mean manually sending things to your computer first, like photos that you've taken with your camera you don't want to lose. Probably unneccessary but we did this first and I felt more comfortable.
iCloud backup and download worked fine but I hadn't done it before so I was a little leary of it.