To cut back paint or laqucer and remove swirls and restore, you need a decent compound pad. The likes of halfords pads, and most bought locally are to soft for cutting back. There okay for polishing, but no cutting back.
I use a menzerna compound pad, and merguiars dimond cut 2.0 cutting compound.
Work small sections at a time, I divide the bonnet in to 3 sections, each door 3 sections, (top section above and around window, middle of door and bump strip, bottom of door below bump strip), Roof in to 5 sections (4 squares at the back, and one section that goes around the side