For the "best" shine, you'll need to wetland beyond 800 grit, probably a round of 1500 then as much as 2000 to remove the most fine scratches. Polishing will then be much easier and produce a far higher luster, if that's the goal you seek.
For your Dremel, use the Green, Red, Grey ScotchBrite pads to remove oxidation and initially sanding. The speed and differing abrasions will remove more imperfections without the splatter of the aluminum. Follow with regimens of wet sanding.