The one thing I cannot really tell from your picture is if the scratches are deep or still just in the clearcoat. If it were my car, I would wash and clay the area (which is small so not much work) and then I would get out my dual action polisher using the least aggressive polish I could to remove the swirls. My guess, however is that you would need to us a more aggressive polish with an orange cutting pad first, then follow up with a second, less aggressive polish and a white cut pad. Some polish combination like Meguiars M 105 then 205 or Pinnacle Advanced Swirl Remover and Finish Polish are a few examples of a more aggressive then less aggressive polish. I would also use a smaller backing plate on the polisher and pad due to the size of the area and also tape off all of the plastic with painters or auto tape. I have seen much worse "rash" polished out.
After polishing, then the deeper scratches and chips are really exposed. I have never used it, but many people like Langka, or Dr Colorchip to cover the deeper scratches. Lastly, if you don't want to get a DA polisher and the correct pads, this is such a small area that a quality detail shop might be able to do the job cheaper than your outlay of equipment and polishes. I for one, do a full polish with a less aggressive polish about every 6 months so the investment was good for me. Good luck on the repair.