Hi Abilene,
Yep. A millisecond (nanosecond) spike in chamber pressure caused by too small chamber throat can cause primer backout if there is excess head space, and with a light load, the case doesn't reseat the primer.
However, on this gun, with some deformation of the primer face, extending into the firing pin hole, I agree with Pettifogger. the gun needs to go to someone who/whom knows what he/she is doing. An 030 firing pin protrusion is too short and stoning back to that dimension will likely result in miss-fire.
If the firing pin is a mite sharp, and an OEM Main Spring is is use, pierced primers are almost guaranteed. This gun is most likely to need a hardened firing pin bushing installed to correct the hole in the recoil shield. The firing pin shouldn't need more than just a little "blunting"k and I'd suggest changing to an after-market Main Spring.
Coffinmaker