As far as testing the firing pin- try this:
REMOVE the magazine. Cycle the action, and insure that the chamber is empty- no ammo in the pistol. Then do it again (because it is easier to do it twice than patch the hole in the ceiling, and explain it to your wife )
Find a skinny pencil that will fit into the barrel. Insert it with the eraser first. Point pistol up, release safety pull trigger. IF everything is in working order, and firing pin is in place, should pop the pencil up a a foot or more. Do not point it at your face.
If pencil pops up, recover it, check eraser. Should have a mark in the center from the firing pin striking it. Eraser cushions pin to prevent dry-fire damage.