Can you please tell me where that table was sourced from and which version of Backup Exec is was created for (the fact that it mentions 2003R2 makes me think it was an old version). Also because you are looking at the Archiving Option that also shows an older version as the option has been discontinued. As has Backup Exec Retrieve (Which is shown in your list also.)
As such you are almost certainly using a version that is no longer supported by us and it may be that either the document you got the table from was incorrect (and never spotted) or the BE version itself had a defect around this area (but as the Archive Option was rarely used also never spotted) - either way, we will not be address the issue in such an old version of Backup Exec.
If you enable a job failed alert it will alert on any job that fails which would include jobs for the Achiving Option and I still fail to see how a critcial alert against the Archive Option itself would ever have a job log.
Also please be aware that we have discontined thet Archiving Option a