Can you buy a gun or bow and arrow with a juvenile record and a class A misdemeanor. And you are now in your late 30's?

For firearms, if the Juvenile offense would have been a felony if committed by an adult, or if the misdemeanor was a crime of domestic violence, no, you cannot buy a firearm. You would need to apply to your state for a restoration of rights. In most states you may also contact the State Police, and request a records check on yourself to determine if you would be considered a "prohibited person" when buying a firearm. Bows do not have the restrictions that firearms have.