first off the backup program will create sql files.
The backup program lists the database tables and we create a backup sql file of that table.
You would create a backup directory and make it 777. Then the full server path to mysqldump which resides on the same server as photopost and you should be able to use backup. Otherwise PM me admin login so I can see exact error or list here.
Your more looking like you have a corrupted database more and more each time.