Congratulations with your Luger Peet! Sounds like a keeper
I also find Lugers more accurate compared to other pistols. Then again.. I mostly shoot with Lugers, and is therefore most comfortable with it's grip angle. ..talking about the grip angle.. I think that's the reason why your flat nose bullets are jamming from time to time. personally I only use round nose in my Lugers, not flat nose or HP. Not that it eliminates my jam's, but it reduces them quite a bit. Good luck with it, and nice shooting btw!