If you are adventurous, you can take the radio out yourself. The panel around the radio pops right off. Then use a 10mm socket to take the bolts out. Make sure you unplug all the harnesses.
For the radio, you may have to loosen a few Philips screws, before prying the top cover off. You should be able to somehow lift and slide the CDs out.
As for fixing the problem, it's hard to determine which part(s) may be bad, so it's probably not worth spending the time and money to do so.