Something tells me this whole set up isn't going to work as planned... I'm guessing it's a standalone player that records DVD/CD, and it can be set to record Audio CDs... But what will it think when you put a DVD in? There's no DVD Audio (well, there is, but I doubt it'll record it), there's DVD Video, but I bet it would do something like mux a blank clip with the audio, and it'd be the same as a DVD Video, but then you'd be stuck with a mostly empty disc that is however long it burns DVDs to (120 mins?).
But hey, it's just a DVD-RW. You can erase it. Why not try it and tell us?