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PCPs have near zero recoil so any scope (ideally that can focus down to ~30yds) will be fine.
Yes, a .22 cal PCP delivering 800fps would easily deal death and destruction to bunnies at 40yds.

As has been suggested, you get what you pay for and quality is never cheap. Scored two small bunnies today at 40yds with head shots and it was instant lights out with the 40ft-lb Airwolf.. That...