Opinions on my Deactivated 1936 Luger

[Martin 2]

Hello to all
This is my first post regarding my Deactivated 1936 Mauser Luger
I guess my main question would be is it an authentic Luger ?, although I guess the fact that it is now incapable of being used does take away authenticity. But you know what I mean
I think the barrel has been replaced as in a certain light it looks slightly different to the receiver and there is a crown above an N
Which I think makes it a commercial barrel ? . I guess it could have gone back to have a repair / refurb and due to war time pressure it was fitted with what was at hand ?
Also the magazine is stamped with 2/1001 which I read somewhere might make it a East German post war refurb ?
To sum up :
Is it a nice example of a ww2 era Luger that may have seen action ?
Is it a later magazine that has had the serial number put on to match?
Also strange stamping below take down leaver ?
Finally , a lack of straw parts for a 1936 example?
Any and all opinions appreciated
Best Wishes
Martin 2