Are you trying to drag directly from the limewire program window into WMP?
I can imagine that probably wouldn't work. They made a lot of changes in WMP12, mostly removing all the features that made 11 cool as far as I can tell.
I haven't burned a CD in so long, I've forgotten how. I'd think you would have to add the music files to a playlist in WMP directly from the folder that limewire saves to. (browse for them from within WMP)