These rings will work with some weaver style bases. These will not work with factory Ruger weaver style bases.
Here is one that you can purchase from Optics Planet that will accept these rings. https://www.opticsplanet.com/ruger-mark-iii-mark-iv-22-45-picatinny-mount-w-pre-drilled-recievers.html
No, the Burris Zee Signature 1 inch Rifle Scope Mount Rings work with standard, dovetail, double-dovetail, and Weaver-style bases only.
Yes. The Burris Zee Signature 1 inch Rifle Scope Mount Rings include a pivoting synthetic insert that increases the scope-to-ring mounting surface while protecting the scope finish. Additional Pos-Align Offset Inserts can be purchased (sold separately) to correct any misalignment of receiver holes or rings or even to provide additional windage and elevation adjustment.
No, but Burris does sell a similar set of 1 inch rings that comes ready for picatinny install: https://www.opticsplanet.com/burris-xtreme-tactical-1-two-rings.html
No, you would need an AR-height mount for that setup.
Yes, the medium rings would be appropriate for a 42mm lens scope on a weaver style base.
These rings require a Weaver or Picatinny style rail to attach to.