I will almost guarentee you that the firing pin is not damaged.
The spring might be weak.
But the first thing that you might want to look at is the condition of the firearm.
Too many people use way too much oil on the internal mech, then when it fails, they blame it on faulty parts.
The most that your rifle should have needed was a drop or two of Kerosene on the bolt mech to displace any moisture that might have been present - along with lubrication.
At one time, I would have suggested using Castrol Gun Scrubber, but my source for that has dried up. I'm not sure that there was something inside of the chemicals that was banned or if it just didn't sell enough to make it worthwhile for the manufacture to continue producing it.
If you knew how to disassemble it and reassemble it - without doing any damage. I would tell you to take it apart and clean all the workings inside of it with Brake Cleaner. Which can be bought at any automotive parts store.
If you cannot take it apart, I would suggest using Carbureator Cleaner - just be careful not to get any on your refinished stock.
Spray some in and work the action a couple of times and it should loosen up.
A little problem I had at one time was a certain .22 Rifle that wouldn't shoot Remington ammo. The rifle was a Marlin .22 Magnum and the ammo had a case that was very thick and the primer would only make a dent on the rim.
I ended up giving away a couple of boxes of ammo - because it was of no use to me and I couldn't return it.
Your third option is to take it to a gunsmith.
If there is not a good gunsmith in your area. let us know - and we will try to direct you to one.