Off-hand I'd say your issue is most likely related to tape degradation.
Tape backups are not the most reliable forms of data backup and do deteriorate with age. Since tapes are extremely vulnerable to environmental hazards, they should be stored in climate-controlled locations. If tapes are stored near any kind of source of electrostatic or magnetic discharge, data will most assuredly be lost over time.
It is possible that the tape drive is need of maintenance and/or head re-alignment. It would be wise to contact the tape drive's manufacturer for their recommendations.
I would recommend creating new copies of those backup tapes that are still readable as soon as possible and consider using a redundant Hard Drive backup system or burning the data to DVD or Blu-Ray discs.
If you have tapes that are no longer readable that once contained valuable data, you may want to investigate the many companies that specialize in data recovery that can be found on-line.
[b]Good Luck![/b]