From my own experience, it is nigh on impossible to restore original shine, once a panel has been attacked by the mops.
If you have one or two small scratches then it might be doable. Use the softest mop and soap you can, and keep the polishing area as small as possible, don’t let it spread all over a panel and don’t let it get too hot.
I stated using a drill but the bearings soon gave up as they are not designed for side pressures. I then switched to a 4” grinder which IMO was way too fast, vibrated incredibly, and put far too much heat into the panel.
Personally I would recommend painting, as I have now done, or strategically placed stickers.
Andy