" Not BAT, but my EAR will not read WMA files, so I know that not every player reads every format. If it works with normal commercial CDs, I think you're OK. "
No Redbook only player will play WMA files. CD is the only compatible format.
Until you get the issue resolved, take a problem CD and copy it. If the copy doesn't work, Rip the CD and then burn the ripped files to a cdr.
If you do the above, you should get at least some of them to work.