89 300 CE

I don't know how it happened but all of a sudden I have spots on the inside of the plastic covering the main instrument panel. They look like the spots left on my outside finish after a rain. I did have a few coolant leak problems, now completely repaired, but I can't imagine that caused the problem. Maybe the spots have been there and I just noticed them as the sunshine returned to Boston. But this is my third summer with this car.

Anyway, do I have to get out my coat hanger hooks and pull the thing to clean it? Will it involve looosening the speedo, etc.? Any suggestions on how to get at the inside of that thing? Any ideas on where the spots came from?
thanks