Luger 1 is a standard military model made by Mauser. Their code for that time was S/42 your gun should have Eagle 63 proofs on the side. Does it have strawed or blued small parts? 1937 was a transition period for this.
Luger 2, may be original finish, but I would need to see good detailed pics to determine correctly. Your is a standard military DWM mfg P.08 the proofs are gothic letters under a crown. A good way to tell if an Imperial Luger has the original finish is to get a strong flash light. I Surefire will do nicely, take the light and shine it on the finish at an angle. If the blued finish turns reddish then you probably have an orignal finish on the gun.
Here is a pic of a 1906 American Eagle that I own, just to show you how good they can look even when they are over 100 years old!