MR. Ward, first let me say thank you for your service to this great country!!!!

A deer rifle, I would say at least a .243. I won't recommend a particular rifle as I am a big ruger fan but there are many good ones out there.

A rabbit rifle, I would say a shotgun say 20ga. but they are a lot of fun with a .22 as well

Good luck to you and have fun with it!!!!