More things to check:
https://answers.microsoft.com/en-us/surface/for...
https://learn.microsoft.com/en-us/windows-hardw...
Right click Start>Run & enter services.msc find Windows biometric service, right click on this & choose Stop. Navigate to this folder: C:\Windows\system32\WinBioDatabase & copy all the files to another location - say Desktop.
Once backed up delete the files in the WinBioDatabase folder then go back to services.msc>windows biometric service & choose Start.
Try registering your face again.