Inusuit's on it: start with a cleaning and inspection (if you know how to safely disassemble), lube, and make certain the strain screw is fully seated.
Some things to look for include the condition of the hammer nose (any damage); where on the spent and un-ignited primers the hammer nose dents are located (center?, to the side?, not there at all?).
Any issue with carry-up (what some call "timing")? Can you check for headspace and the condition of endshake? Can you check for index (the correct alignment of charge hole with forcing cone)?
Any of these separately or in concert can account for light primer strikes. Don't forget the possibility of a hang fire if a light strike happens again and keep that muzzle pointed down range for a stretch.
Usually with an older, used pick-up, the issue is someone's walked the strain screw back and tightening it fixes things. It is supposed to be tightened fully.
Sometimes you open 'er up and someone's put in a lightened mainspring or hacked on the original and the fix is a factory stock one.
And sometimes someone's filed down the strain screw for lightened pull and you need to replace it with a factory correct one.
These are the easiest situations to remedy. Carry up, endshake, headspace, hammer nose damage, indexing -- all can be more involved.