So technically this is two requests (and both could be used in the B&R product as well)...
...but how about a button to view logs from the 'Restore Point Details' screen and/or the Support tab?
When this button is clicked, a separate, simple Log Viewer tool, perhaps one that could have a drop down or two to help filter out the particular job (or job and time frame) you are trying to get logs for? And maybe some very basic intelligence behind it to color code certain parts of the logs, since your log creation is already rather robust, basing on labels, noted errors, etc? Then when you isolate the job and/or timeframe you are after, an export tool to package everything up to be sent to support.