Here is what I did:
Backup weekend jobs ran to tapes without barcode. After they ran (full weekend backups), I exported them, added barcodes, then imported them and ran inventory. Things went great and the barcode was read. However, they said they were in an Unrecognized media pool. So I assigned them to the Weekend Media Pool that I have for the weekend backups. To do this it warned me that it would need to move them to the Free media pool first, then to the Weekend Media Pool. I said ok and it moved them to the Weekend Media Pool. However, it then showed the tapes as though they were empty. I re-ran the inventory job on both of the tapes and then they showed up with the correct amount of data and dates on them.
I thought everything was grand, but now today my first weekday job is running. These jobs go to the Weekday Media Pool. My jobs to tape are stuck and won't take the Weekday tape that I have in. I think this is because it wants to backup the weekend jobs again because it's looking for a tape in the Weekend Media Pool.
Did moving the tapes from the Unrecognized media pool to the Weekend media pool erase the tapes? If not, does VEEAM think these weekend files weren't backed up because of all this inventory and moving tapes to different media sets? What are my options now? Do I have to re-run the weekend backups again?