If you're using this for long range shooting, 20 MOA will be a great choice. If you're shooting more short range, inside 500 yards, a 0 MOA rail would likely be a better option.
Yes it will.
MPN: P0M252706 will fit.
MPN: P0M252705 should fit.
None of the models on this page will fit. Here is a link to the 20 MOA rail that will fit:
https://www.opticsplanet.com/talley-picatinny-base-short-action.html?_iv_gun-model=savage-with-accutrigger-short-action
No, it will not. Talley does not currently make a rail that works for the T/C Compass.
These rails are only available in black and none of these will work, but a compatible model can be found here:
https://www.opticsplanet.com/talley-picatinny-base-short-action-20-moa.html?_iv_gun-model=howa-1500-w-20-moa-short-action
Yes, item P0M252714 should fit your Tikka T3x Lite.
Many of these picatinny rails will be milled on either side to be ambidextrous, but it will be dependent on exactly which rail is in question.
No, it would not be compatible. This option would work instead: http://www.opticsplanet.com/talley-picatinny-base-for-bergara-premier-usa-made-long-action-20-moa.html