Ken and David: Thank you for your replies.
As you suggested, I checked the Backup Exec media set. All the tapes are in the same media set, The media set says to Append to the tape. If the tape is full the instructions specify to Overwrite the tape. It's set to wait 1 hour before overwriting tapes after the job is done.
Wednesday most of the jobs hung or failed and wanted "overwritable media". Last night (Thursday) everything backed up except 1 job.
We recently bought all new tapes and the system works much, much better. Most jobs now complete successfully, except on Wednesdays.
To simplify things I moved the old tapes to the "Retired Media" media set. Now the "Backup Media Set" only has new tapes in it.
I will wait until next Wednesday with the modified media set unless you have any other suggestions.
By the way we have a "HP Storage Works 1/8 Autoloader, LTO Ultrium 3" that can take up to 8 tapes and changes them automatically.