I rebuilt one of those. Or rather, rebuilt it a couple times ~then~ threw parts at it. The gearbox is a staggeringly complex arrangement of planetary gears and sprag clutches. I was a bicycle mechanic long enough ago to have been conversant in Sturmey-Archer 3 and 5 speed hubs as well as the various coaster brakes and oddball Sachs Torpedo hubs - so the DeWalt gearbox was not impenetrable, but it is a very good mechanical puzzle.
Take it apart, but print out a parts diagram from one of the online parts site first, or take a bunch of pictures as you go.
BTW - I have the drill, and the hammer drill. They're pretty great and I've used them both for years quite hard.