First luger, first time shooting luger,trigger issue.

[Leif Thoreson]

Greetings one and all. I'm new here and new to owning a Luger. Last weekend I bought a 1937 Luger at a gun show. I've been looking for one for years but never had the money to buy. At the gun show there was one dealer who had a luger. I asked what he wanted for it. When the dealer told me what he wanted,which was half as much as any I've looked at I jumped on it. It has surface pitting and I'm guessing has been re blued since the pitting appear blue. Looks like it has all matching numbers , but the pitting has made the proofing marks unreadable.
Anyway I bought it as a shooter. Gave it a fair cleaning and took it to the range today. It had 2 issues. First the magazine appears to have some play. It can push up too far and hold the slide lock open. Once I figured that out I just pulled the mag down a centimeter or so.
The second issue was that the trigger wouldn't reset all the time. I was wondering if this might be a worn spring?