The alpine I have has trouble playing certain CDRs... mostly Maxell brand CDs.
The pioneer plays pretty much any CD thrown at it (as far as I know, it was in my friends car and seemed to work fine). This deck also needs a trim ring, I forgot to mention that. Both the wirring harness and trim ring can be found on ebay or a local car stereo shop may have them kickin around.
I will get pictures of the pioneer asap, as i'm sure the alpine may not work that well for her. It is in pretty good shape, only some minor scratches on the face that come from normal use and cleaning.