There are two ways to see the full backup log history to resolve any warning/errors you may see, the first one is using the Backup Intelligence Client, the other is using the Backup Intelligence Web Interface.
Backup Intelligence Client
You can view the warnings/errors you are having by opening up the Backup Intelligence client and clicking on the history tab
It will then bring up a history of jobs. Double click on the job with the warning/error to open the job log.
Web Interface
Log in to https://bi.ceejay.com/. Click on the history tab for the drop-down menu and choose Job History
You will then be taken to the job history page. When on this page click on "report" for the job with the warning/error to see the job report
List of guides on how to solve the warnings/errors:
"Cannot proceed - another task needs to finish using the Storage Vault first"
"Operation Not Permitted on Apple macOS"