For the first issue, it seems that the log file partition is filling up and causing problems with the cleanup job. It may be beneficial to increase the size of the log file partition to prevent this issue from happening in the future. As for the backup plan, it is recommended to take regular backups of the database to prevent data loss and ensure recoverability.
For the second issue, it appears that the SQL Server Agent is not running, which is causing SQL jobs to not run as scheduled. To get the SQL Server Agent up and running again, you can try restarting the service and checking the service account permissions.
For the third issue, it is unclear if the current SQL server can handle another database without more information on the server's specifications and current workload. However, it is generally recommended to have separate log file partitions for each database to prevent issues like the one described in the first issue.
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