Face Time not work in MacBook Air

Can you log into Messages?

FaceTime, Game Center, Messages: Troubleshooting sign in issues

FaceTime Troubleshooting

Have someone else attempt to sign in using their Apple ID. If they can successfully sign in and use Messages/FaceTime, it may be your Apple ID.Someone I know had this happen and I was able to sign in usingmy Apple ID. After a call to Apple Support and then being elevated to a tier 2 support person, it turned out it was a problem with their Apple ID. It took the software engineers 3-4 days to fix the problem. When calling Apple, make sure you tell them it is an Apple ID problem so you don't get charged.

There is a contact link.

Apple ID Support

Apple ID Support (2)

Apple Support by e-mail or chat Select your device, Battery, Power and Charging, then Power adapter not working to get a chat option.

Is this a newly purchased machine or second hand. If it is the latter, do you know the history. Did it originate in the Middle East or Pakistan. If yes, that is probably the reason.