Recommendations for the RWS 34 are solid. They are a nice rifle, big and heavy but for the price hard to beat. Something you may find is that quality air rifles are a ton of fun. Cheap ones sit in the closet. It may be worth a few more bucks to get a quality rig that you will enjoy shooting.
Rabbits are pretty tough, I suggest a .22 cal if that is your main quarry.
Cottontail rabbits are the most fragile small game animal on the planet. Squirrels are waaay tougher and harder to kill.
