These are the covers you would need:
https://www.opticsplanet.com/butler-creek-eyepiece-flip-open-scope-covers.html
MPN: MO20130
https://www.opticsplanet.com/butler-creek-flip-open-scope-covers.html
MPN: 30170
The answer provided by JimBob is a perfect response. Here it is: "SavageHunter11... Leupold currently has two versions of the 2-7x33 in the Freedom series line-up, a standard centerfire version and also a rimfire specific model. The centerfire version (which you would be looking for) is part number 174178. It features a standard duplex reticle and has a factory parallax setting of 150 yards. The rimfire version is part number 174179. It features the Rimfire MOA reticle and has a factory parallax setting of 60 yards. Hope this helps to answer your question."
The Leupold VX-Freedom Rimfire 2-7x33mm Rifle Scope is a variable power scope with a magnification range of 2-7X. The Leupold FX-I Rimfire 4x28mm Rifle Scope is a fixed power scope with a magnification of 4X.
The rings at the link below should work for the Leupold VX-Freedom Rimfire 2-7x33mm Rifle Scope, on that rifle.
https://www.opticsplanet.com/warne-22-caliber-high-scope-rings-w-matte-finish-41663.html
This optic should fit with most low mounts.
No, unfortunately not.
Yes, the reticle is MOA so you would only need a ballistic calculator to determine holds.
Yes, that setup should fit.
The rifle scopes and shotgun specific scopes would ensure the best longevity of the optic.
You would need the Crickett scope mount but this scope could be mounted onto that rifle.
https://www.opticsplanet.com/davey-crickett-scope-mount-base-specifically-for-22-caliber-single-shot-bolt-action-b.html