ok, let me run through this from the beginning, obviously we have some crossed wires.
you have a DC, a good backup, and a hot spare server.
the DC has some fatal error, and must be restored.
you whip out your hot spare, install windows 2003 server with the same key and patch it to match the first server.
you reboot and press F8 to go into directory services mode, then restore all files, including the system state.
you reboot once again, attach it to the domain and synchronize with the other DCs as in http://support.microsoft.com/kb/316829,
OR
you do http://support.microsoft.com/kb/316790 because this is your only DC
other things to look at:
http://support.microsoft.com/kb/263532 is for NTBackup, but most of the concepts still apply.
http://seer.support.veritas.com/docs/236286.htm is veritas's article on the subject.
strangely, both suggest restore over, but i've done it with skip existing without any issues.
i've never had to do an authoritative restore, so maybe they suggest that because of some special case of that.