Richard,
I suggest leaving it as is. It appears to be an especially nice plating job compared to many I've seen. Refinishing it will not add to the value and, done properly, will cost a lot. Unless the barrel is absolutely horrible I would leave it alone too. You would be surprised at just how accurate a moderately pitted barrel can be.
The money you would spend on refinishing and otherwise "fixing up" this gun would go a long way toward purchasing a collector-grade Luger.
KFS
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