Get yourself a bottle of this:
https://www.meguiars.com/automotive/...07-7-oz-liquid
Find the softest cloth in the house you don't mind dedicating to the job. Put a little of the polish on it and go over the marks with light pressure in circles for a while. You'll get rid of the marks and there's no chance you'll actually harm anything (aside form introducing new scratches if you don't choose a soft cloth).
Follow up with whatever wax or other coating you like to use.
This is easy to DIY.