iMessage & FaceTime Activation Problems

Hello Friends,

I have a problem signing in & activating Messages on my Mac. When I sign in into iMessage on my Mac, it says "Error Occurred during Authentication"

When I sign in & try to activate FaceTime on my Mac, it says "Your Account does not have Reachable Addresses. Sign in to appleid.com to add one." I have many reachable addresses.

I do have a strong internet connection and I have active email addresses and phone numbers. I tried restarting my Mac to solve this issue but it does not work.

I have hid my Apple ID due to privacy concerns.