This is base/clear ? Not sure what you mean about the UV coating ?
You may be able to just buff some of the dirt out. If not it will need to be wet sanded. You block and plenty of water. Stay away from body lines. If you arent familiar at buffing have someone do it for you.
When I was at the body shop we would D/A fresh clear with 1500, then 3000 wet and buff it all the time. It works great but its not something I would recommend to a beginner. Like stated, one spec of dirt stuck on the paper can ruin your day fast. Plus the paper is real expensive.