Striker Jarman, who also played for Chester, Gainsborough Trinity and North Ferriby United, has been appointed manager, while North has been named as his assistant.
A club statement said: “Paul has given the club some great memories with promotion to the Premier Division by winning the Division One title in 2017/18 season with a record points total and giving the club’s supporters exciting days with cup runs in both the FA Cup and FA Trophy.”