Sounds to me, if you don't know what you may hunt you do not yet have a hunting license. In order to purchase a hunting license you need to take a hunter education class and pass a test to receive your hunters education card that will allow you to buy a license. I would recommend you contact the Arizona Game dept and ask them the questions you asked here. There is a very good chance a sling bow isn't legal to use, I have been hunting for over 50 years and never heard of a sling bow. After I googled it, I see it is a slingshot modified to shoot arrows, it wouldn't be legal in my state or those surrounding it. I have to ask, how old are you?