I won a "custom detail" job through my company's sales incentive program. I generally take care of my own detailing, but thought, hey, why not. It looked pretty good when it was finished, and I thought nothing more of it.
I went to do my version of a "winterizing" detail this past weekend, and went over my car with a critical eye. Much to my dismay, I have discovered very fine scratches on the spoiler, hood and trunk lid.

It looks as if the "detailer" used an abrasive on my paintjob!!
The scratches are very faint, and probably not even through the clear coat. What is my best option for polishing this out? I was thinking polishing compound, then a couple coats of wax.
Suggestions?