I'd at minimum look at the extractor spring and clean the channel. Staking the pin is really straight forward. Just seat the pin slightly below flush (on the internal side of slide) and deform a small portion of the hole over the pin. Doesn't need to be much just enough to prevent it from walking out (toward the internal action).
I'd also look at the firing pin spring, channel, and firing pin along with the firing pin retaining pin. Look for any corrosion and gunk buildup. Just need the firing pin spring and retaining pin if you are looking to replace wear parts.
Cheers,
Toby