Hi hydrolic11,
Since you're having difficulty signing into FaceTime and iMessage on your Mac, we recommend that you try the steps here: If you can't sign in to your iMessage account or FaceTime on your Mac - Apple Support
To perform the steps in the article we suggested above, click and open the link, read the subheadings below, and try each step.
1) Check your internet connection
2) Check for a service outage
3) Check your Date & Time settings
4) Make sure that your software is up to date
5) Check your Apple ID
6) Reset NVRAM
7) Check for third-party software
The reason why we are recommending the steps above is because they will show you what to do if you can't sign in to your iMessage account or FaceTime.
If you’re still experiencing the same issue, then give the steps here a try: If FaceTime isn't working on your Mac - Apple Support
Please do not hesitate to reach back out to us if you have more questions.
Thanks for using the Apple Support Communities.
Cheers!