This optic is a rear focal plane.
Burris does say the lens has a Hi-Lume multicoating, but they do not state that if it passes IR light.
If you went with the Butler Creek caps, you would need the size 16 eyepiece cap and the size 43 objective cap.
Yes, it definitely will. You will just need to get the appropriate mounting solutions. Please email us at techsales@opticsplanet.com and we can look into that for you.
That really depends on a ton of variables including zero distance, height of the set up, and overall installation. You can email us at techsales@opticsplanet.com if you would like to provide us with more information to see if we can provide some guidance. But I would also recommend reaching out to a local gunsmith or gunshop to see if they can correct the issue as they can actually put their hands on your Bergara/scope.
You will likely want to go with a medium or high height ring. You will want to make sure that the rings are at least 1 inch high. The scope requires approximately 1.15 inch to clear the objective bell, so a 1 inch height ring with the added height from the picatinny rail, should make up the 1.15 inch height needed to make sure that the objective does not make contact with the top of the barrel.