Dan, welcome to the forum. The mark on the mag, I believe, designates it as number 1/primary mag, marked in police fashion, which beyond the matched number, means it goes with a police gun. No, those are more of the "process" marks from manufacture under the grips. Unit markings are definitely more blatant than that! (Check out some pics in the "Unit Markings" category and you will see what I mean.) Having them adds lots of richness to a gun's story because once the unit, police dept, etc. is identified by the markings, the unit's history and exploits can be researched.
You have started your membership off with a gem, sir. It looks like a really nice one, a fine family heirloom--and treasure. Posts above reveal that it occupies a special niche, as an example; and a good one, too, because it's looking really good as far as overall condition, original finish, matching numbers, etc. So, a collectible, not a shooter, eye candy on this site! The matching mag is veeery desirable, and I'll bet what you have is a police holster, when you find it, which is another plus. There are also guys who can decipher the stampings it might have, so you can see there is plenty to learn.
It is a good thing to have something like this insured. There are forum members with the specific knowledge and experience needed to establish its value for these purposes.
Shooting it would, of course, be your choice. The biggest caveat cautions against anything that would break or damage the pistol, and numbered original parts do fail, in turn lopping off 50%, generally, of the value!
Hmmm...now you must consider finding another in shooter grade. We shall see if the Luger Bug bites...
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"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894
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