While it is possible to remove scratches and swirls by hand, it requires a lot of effort, and the results will not be as consistent or as good as working with a machine. I would suggest you go to a detailer - sign up at Pinoy Detailing and look for MiB, he has a shop in Pampanga I believe - and have them perform the polishing for you. Then, you can maintain the finish yourself - read the guide posted in the Tamang OC thread on what procedures to follow, as well as some suggested products.