Turn Off SQL Server Diff and Full Backup

I have inherited a system that uses Backup Exec 12.5 for backup.  One of the components had a SQL Server 2003 backend.  The data in the database is no longer used in production, only for archival queries.  We really have no need to run backups on the database, as we have a current copy of the database stored on and off location.

There are thee current jobs: Diff Daily (Diff and SQL), Full Weekly, and Full Monthly.

I am at a loss as to how I go about shutting off the SQL Backup.  I have seen posts saying that it should be as easy as removing from the selection, but I do not see anything associated with the database listed anywhere under the selections.

Thanks in advance,

Rick