Thinking about the issue. It doesn't make sense to read a "blank CDR". There is nothing to read.
Moving past that issue which you can expand on later, if you can't read ALL (you didn't tell) CDR and CDRW, it can be that you used DirectCD and that software has failed.
More detail is needed to tell if the hardware failed or your software needs an uninstall and reinstall.
My HP cd writer drive is not reading cd-r's and cd-rw's either blank ones or ones that i burnt with either data or music on it. when inserting these cd's, you don't here the cd spinning. i checked these cd's in another pc and they are fine.
However, my cd drive will read software cd's that came with various pc items and it will also read music cd's that i purchased. when inserting these cd's, you hear the cd spinning and it will start automatically.
my OS is windows XP with all updates except for SP2.
any help would be appreciated. i have looked through this site and didn't find what i needed.