There are many causes to the error 0xe000031a. To determine the root cause, the failing job must be debugged.
How to debug SharePoint jobs: http://www.symantec.com/docs/TECH37467
Backup- PowerPointServiceApp Proxy\Proxy (SWHQSPDB01T\00819b3a-5175-4d0b-a487-a6eb9ec3b5e7)V-79-57344-794 - Error: Unable to query the Team database meta-data.
Backup- PowerPointServiceApp\Metadata (SWHQSPDB01T\c1b067cd-a245-414d-a425-e6b58dd4b3a4)V-79-57344-794 - Error: Unable to query the Team database meta-data.
From the SPSWrapper log:
Error exception in running cmd Get-SPServiceApplicationProxy -identity 00819b3a-5175-4d0b-a487-a6eb9ec3b5e7 Exception is Exception getting "EnableClipart": "The given key was not present in the dictionary."
Error exception in running cmd Get-SPServiceApplication -identity c1b067cd-a245-414d-a425-e6b58dd4b3a4 Exception is Exception getting "EnableViewingOpenDocumentFormats": "The given key was not present in the dictionary."
When Sharepoint 2010 has the Microsoft Office Web Applications add-on installed with Service Pack 1, doing a Sharepoint agent backup will show a failure on the Powerpoint service app metadata and service app proxy. Service Pack 1 for the Office Web App package adds some additional fields to the metadata for these items that the Backup Exec Remote Agent isn't aware of.
Deselect the Powerpoint service app metadata and Powerpoint service app proxy from backup.