See http://www.vwwatercooled.org.au/foru...diy-60984.html
I'm not sure the facia and screen are actually meant to come apart. I would be very careful. I'd have a close look at the screen once it has been removed from the head unit to see if it is easy to remove but have not done it myself.
I would maybe suggest removing the screen using JohnC's excellent instructions for the RNS510 (not sure how different the RCD510 construction is but probably not that different), then very carefully removing the film using plastic tweezers to grab the film, and a hair dryer on warm to soften up the adhesive if required to loosen it.
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