Marred and scratched clear coat - how to fix

I've got several parallel running door length scratches on the rear passenger door of my Passat. I think a couple kids at my son's school where horsing around and one of them landed on the door while wearing one of those backpacks with several hard plastic buckles.
I keep Swirl Remover on hand just for these types of situations, but this time it just wasn't enough. I managed to remove only the light scratches at the beginning and end points of each mark. Some of the marks are hazy and in just a couple small places the clearcoat is cut deep. Anyone have a suggestion on what I should do?
I think one option is to find a professional that will restore the finish or just give it a new finish altogether - but that will be many $$$.