Neat. Regarding the case, first thing I would do is clean the dirt with Formula 409 or something similar. Then I'd get into the Magic Eraser (cut them into cubes) and using soapy water scrub that case good. The Magic Eraser really gets some of the harder stuff like stains or adhesives.
If it's faded, you can buy this stuff off Amazon called Salon 40 volume creme. It's basically RetroBrite. Soak the plastic in this stuff out in the sun inside of a clear plastic bin (with clear lid) or bag.
Good luck and be sure to post the results!