I would recommend high rings, item 750714.
An extended torque bit would be beneficial. Recommended torque to the Tikka receiver is 20-25 in/lb.
I would recommend medium rings, item 740714.
No, they do not utilize the recoil pin. The main reason for the pin was for the Tikka rings that fit the dovetail; the pin is the only thing that keeps that ring from sliding due to recoil.
Yes, they will fit any of the standard Tikka T3 models.
The Talley (730714) Low Rings & Base Set for Tikka T3 will be the recommend height for your 42mm objective lens on a Tikka T3X. They can be found linked below:
https://www.opticsplanet.com/talley-730714-low-rings-base-set-for-tikka-t3-30mm-style-black-finish.html
The Talley 740714 Med Rings & Base Set For Tikka T3 should provide enough clearance for that scope on a Tikka T3.
No. These Talley Med Rings & Base Set will not provide enough height to accommodate a 56mm objective lens. You would need to use high to extra high rings to allow for enough clearance for your objective lens. I'd recommend the DNZ Tikka T3 Scope Tube Mount found using the link below:
https://www.opticsplanet.com/dnz-dednutz-tikka-t3-30-millimeter-scope-mount.html?_iv_tube-diameter=30-mm&_iv_ring-height=high
Yes. These Talley Med Rings & Base Set will work perfectly for your setup, as medium height rings are intended to accommodate objective lens sizes up to 44mm.
Yes. These Talley Med Rings & Base Set For Tikka T3/T3X are a medium height, which is an ideal height for a 44mm objective lens.