Now if the DB is in Simple Mode why would it be giving messages such as "DB log file is full" when what I understand it should automatically clear that out after the backup?
Simple recovery does not prevent the log from filling, just means you don't need to run log backups to mark the log as reusable. See the two articles I just referenced. btw, full backups have nothing to do with log reuse in any recovery model.
So thinking maybe someone changed it by mistake to simple mode and now the transaction log backups are not running the file got full?
A database in simple recovery does not need log backups to mark the log as reusable. See the two articles I just referenced.
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: Discussions on DB performance with occasional diversions into recoverability
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