Following Ed's directions, be very patient and gentle so that you don't start wearing away the bluing that is still present on the pistol. The strawed (golden colored) parts look like they are in pretty good shape in your photos, so don't do anything to them...
Your magazine is either an original that is not period correct or a post war magazine. Your Luger should have a wood bottom magazine, and I believe it should have a nickle plated body. Military pistol magazines would be numbered.
The original finish is part of the history of your Luger and the legacy from your father. Don't be tempted to have it refinished. It's of more interest in it's original state.
Marc
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 Igitur si vis pacem, para bellum -
- Therefore if you want peace, prepare for war.
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