A good place to begin would be reading Parts 1-5 of
Tips On Accurizing The Mini-14. Almost all of these tips apply to the Mini-30. Keep in mind that the Mini-30 always had a "heavy-profile" barrel, similar to modern Mini-14s, so no "Pencil-Barrel" issues with the Mini-30.
I have not yet heard of Mini-14s having issues with light primer strikes, but I certainly have heard of some Mini-30s having issues with some ammo. Then again, I don't hear everything.
Installing an "extra" power hammer spring, assuming existing hammer spring is GTG, does not
really address the issue of Mini-30 misfires. Installing a slightly longer firing pin, and ensuring the firing pin protrusion is correctly adjusted, appears to have worked out well according to reports from many Mini-30 users.
I know nothing about the firing pin from ASI, but ASI has a good reputation. In the past, most folks used longer firing pins from
Firingpins.com to good effect. You have choices.
Those skilled in the use of caliper-type measuring tools can use such to measure firing pin protrusion; others may need to use a "Firing Pin Protrusion Gauge" from Brownell's. Use search term "firing pin protrusion" on web sites
Ruger Forum or
Perfect Union. Member/Poster sandog has some experience, and has provided correct firing pin protrusion specs for the Mini-30.