Christopher, glad you got it worked out. These short feed ramp .380's can be tricky with ammo. Different guns but my experience with 2 P380's, one new and one purchased used ... various stovepipe, failure to feed or return to battery with several ammos including Fiocchi Extrema XTP's and HPR XTP's. A trip back to Kahr took care of the problems.
After that both Fiocchi and HPR XTP's were very good and almost but not perfect reliability. About the time I got them back, some Precision One XTP's I ordered arrived. Those are 100% reliable in my guns. Also the HPR 100 gr TMJ's, and Federal 95 gr FMJ's are 100% reliable. So the guns are humming smoothly now. But, just to illustrate the point that these small guns can be picky, Magtech 95 gr FMJ's, which function well in the 6 round mags, will give me 1 or more failures each mag load of the 7 round extended mags.
Now, these 2 P380's are 100% reliable until they get dirty after about 75 rounds or so in a range session. It seems at about that level of "gun dirty" I will get one (usually only one) stovepipe or premature slide lock back, which coincides with about as much as I want to shoot in one session with my indicator it is time to clean the gun.
For those of you who mentioned G42, Precision One, in addition to the standard .380 XTP loading, also loads the XTP in a load version with a little more oomph (they call it +P) to handle the heavier slide/springs of the G42, but not intended for other .380's.