Clay definitely can help but not guaranteed. Its the safest way... remember i told ya initially...
Try on one of the dots, else use meguirs ultimate compound, with hand first. If cleared with hand, stop the activity..and use DA to do the full car to avoid new and remove existing blemishesm with end, you may end up habing extra swirls.. but nothing to worry about. Paper is the last option. 3000 grit is super fine, it needs at least 100 passes to damage paint. Same grade is used to remove orange peel on newer paints. Remember paper is the last option.
Now get meguirs ultimate compound and 3m clay to start with.