No probs

If the paint isn't that bad, then stick to working by hand to aviod inflicting marring with the rotary.

You may want to consider AG Ultra Deep Shine as well; as this has fillers to help mask defects.

Once polished layer your chosen wax to get a more impressive shine. If applying the glaze by hand, sometimes this can also work well layered. Due to it being best applied thin, sometimes two layers can help - if only to provide a more even coverage. Don't forget to seal the glaze!

Gareth