Recover any data off the Tape as by all accounts it was never written to in the first place.
Normally when a Tape Drive Fails it will run for a few seconds to minutes and then stop. Unless you made sure that you could read the tapes after they where backed up on the server when it was working they most likely have not had anything written to them.
This is quite common as no one seems to think that they need to verify that the backup actually took place. Several years ago I had to rebuild a Health Department Server that had Daily Tape Backup's taken and from what I could work out the Tape Drive had died approximately 6 months previously and I had no Data on tapes to work with just 3 months of blank tapes to play with.
If you are absolutely certain that these tapes actually contain data then pull the tape drive out of the old server and fit it to the next one and try that. If that doesn't work you'll need to build a temp unit with the same software load and the original Tape Drive and attempt to restore from there.
By the sounds of things the DR Plan that you are working under has never been put to the test and it has never been checked for it's ability to recover data to different hardware which is always a problem.
Col