I have a wide grit range of high-quality sandpaper sold right down the street. Polishing compounds have proven much harder to come by, and I'd be doing everything by hand anyway.

Basically, I'd just like to remove small amounts of pitting/staining and forestall further oxidation. I'm not looking to get a perfect mirror finish at this time, but can one at least get a clean-looking, uniformly hazy finish by progressing up to P2500 sandpaper?