the next day tbh (a few days in winter) buffing hard paint is a pita, 4 coats is alot so you can go nuts with the buffing but avoid unnecessary sanding and would start with 1500 wet for the bad bits then 2000 wet for not so bad bits/over the 1500, then hit it with 3000 if its a dark colour
buff it till you are happy with it then then maybe in a week or so a quick buff to bring back the gloss after the solvent has fully released, then jamb a good coat of wax on it