I did the same thing on our first time out with our Classic.
Was able to get most of them out using a Porter Cable Orbital Variable Speed, foam pads, and three stage 3M Compound. Polishing with the "grain", back/forth not up/down.
If you can't feel the scratch with your finger nail you should be able to get most of it out.
"Any nation that can survive what we have lately in the way of government, is on the high road to permanent glory."
"Mary-Jane....'cuz 2020 sucks"