If you see the “scratches” they have scored the surface of your finish, but as you stated they are most likely very minimal in most cases.
On my coach, I used Meguiar’s M210 and M210 Mirror Glaze Ultra Pro Finishing Polish and then polished.
Remember with most finishing compounds and polishes your using abrasives on your finish, so do so accordingly.
Start with a discrete spot to determine the sequence of finishing products to remove your scratches.
Depending on the aera you are trying to finish ….if large? I would suggest a random orbital buffer to do so.