I would just do Option 1. This will update the name in the database entry for that Skill Group. CUIC will show the new name for the skill group, and all reports run on that skill group will show data from before and after the name change.
These are the paths to get to each CCX logs through CLI. They may be helpful if you are having issues accessing RTMT or downloading logs through it.
If you want to download them you have to prefix "file get " and you can add one of the options (re...