I tried to do a few of the things you're asking about, unfortunately, with no success.
However, for #3, you can search through the logs for a keyword(s) via the dialog brought up by accessing Tools - Log Files. This will allow you to call up specific logs that contain the keyword(s). Note that finding the actual keyword will require opening the log in a text editor, then searching again for the keyword. But it would save you from searching logs that don't contain the keyword.