If it won't run with factory ammo, don't worry about handloads, yet.
There's something wrong with that P95, or it isn't broken in yet. Did you buy it new? How many rounds have you put through it?
P95s won't win beauty pageants, engineering awards, or design awards; but they're notoriously reliable.
...The exception being when they're brand new. Some P95s need upwards of 300 rounds through them, before the frame rails are worn in and let the slide cycle smoothly. My own P95 was, unfortunately, one of those that required quite a bit of "break in" time (it had the occasional bobble until I had over 600 rounds through it). Since then, however, it has been 100% reliable for people that don't limp-wrist it. It will run like a champ with anything from super-wimpy loads (4.0 gr Unique under 122 LFP @ 1.090") to super hot loads (+P+ and beyond), with any bullet weight that has ever been stuffed into it (85 gr to 152 gr).