Welcome to Backup Exec Pains...I've got the same sort of issues with backups that USED to work, but no longer work.
Anyways...I'd say your main issue is that SQL DB that doesn't look like it exists anymore. Check that it's not in your backup selection list, and if so delete the entries. Check your inclusions/exclusions because it's sometimes shown there.
I have had issues with Backup Exec of late when Exchange fails due to a database/file not existing, but being present in the selection list. Because Exchange started after that particular section of the backup, it failed the backups.
If that file is in your selection list for some reason, delete/deselect it, and run the job again.