Here is what you need:
Griots Garage 6 Inch Random Orbital Polisher or some other DA
LC flat pads, I'd get 1 yellow, 2 orange, 2 white, and 1 black to start
Lake Country 5 1/2 x 7/8 inch Beveled Edge Pads 6 Pack, foam pad kit, build a kit, buffing pads, curved edge pads
These are 5.5" pads, so you need a 5" backing plate for the DA. A 5" backing plate is also much smaller than the 6" plate the GG above comes with; less surface area>less work for the motor>easier correction:
lake country 5 inch backing plate, 5 inch backin plate, 5 inch hook and loop backing plate
Meguiars ultimate polish and compound should work for the majority of any scratches you need. Start with the least aggressive method (ie white pad with polish, if that doesn't give desired results, move to orange pad with polish, etc)
Also, listen to Junkman, he knows his sh!t.