Swirls: let me make this easy to start. Go by Wal Mart and purchase a tube of Meguiars scratch X a set of microfiber towels and a yellow foam applicator. Now find a test area on your car that has swirls but the area is not in plain view. After cleaning this area apply a small( very small amount) of scratch X to the applicator and rub ( work the product) in the direction the wind blows over your car and not in circles. This product must be worked because it is not a wax and dry type product. Rub ,rub, rub with medium pressure and then buff with the microfiber towel (mf). Shine a strong light on the area and see if this removed the swirls.
BTW: this will remove your perma coating
Then post back and lets us know how you are doing.