I would hit it with 1000 after the 800 before you switch to 1200. 800-1200 is a big step IMO.
With universal I do 3 heavy wet coats, and start with 800.....then 1000,1200,1500,2000, then 3000 on a da. then buff. Once you pass the 800/1000 grit stage, you really aren't removing alot more clear, just refining the scratches.