1. .308 win.
2. predator call, I use a Primos cottontail distress call, Sceery makes some good ones too
3. Here in AZ the best times are early morning or evening
4. Take some pictures of it, skin it if you want, maybe keep the skull for bleaching, leave it for other predators too eat, perfectly legal here
5. AZ just requires a general hunting license, no season, no limit, I've heard of ranchers paying X amount per yote to thin their property