I am a rank amateur at this compared to many members here, and I ask that someone step in if I offer poor advice.
I mean tapping the plate to make solid contact in the inlet. I don't believe finger pressure would be sufficient to give a good imprint. I lightly tap with a light phenolic (plastic) tipped hammer and where I tap depends on where I am with the inletting. When doing the final fitting of the bolster, I either tap directly on the pan or, with the aid if a thin piece of hardwood, directly under the pan while making sure the plate is not canted. If it is, or might be, canted out at the bottom, I strike a little lower. It is best if your plate is completely stripped while inletting to eliminate the possibility of some component interfering with the process. Inlet one component at a time.
You mention pitting of the barrel. Are you using an old barrel? If so, I think it doubly important you true and smooth up the area that will make contact with the bolster. You should also true up your bolster if it isn't already flat.
If your frizzen is still on the plate, is it possible the frizzen screw is protruding past the face of the bolster and interfering with your inletting?
If it looks like the rear of the inlet is too deep, install a shim or temporarily build up with masking tap before going further. You don't need an overly deep rear inlet complicating things.
Dennis has made some good points.
I assume that, at this point, you have not drilled for the lock bolts. That should only come after the lock is fully inlet. Tightening the rear lock bolt could cause problems later on if the rear of the plate is inlet too deep and not corrected.
If the plate is canted toward the bottom, I would expect there to be a gap all across the top of the bolster.
The mainspring could cause the problem. Leave it off until the plate is fully inlet.
A photo would sure help us better understand the problem.