Let me respond. Deep scratches even with compounding will not come off. Here is what I did as a dealer which worked for me. Using a low speed palm sander with wet and dry sandpaper using 250 grit at first and then finer sandpaper with the use of the water, I sanded out those deep scratches and then used the finer 400 and then 600 grit. Then I used a fine compound with a low speed orbital of not over 1000 rpm going back and forth without letting the tool sit in one place or you could burn the plastic. Turned out just fine.
Suggest practicing first.
I may have used a coarser grit of sandpaper but stayed away from 80, 120, etc. grit. Also use wet and dry sandpaper with water and even with a palm sander I went over the entire surface at low speed going back and forth without stopping in one place.