(1) The board screening panel shall consist of at least three board members, one of whom shall be a licensed plumber member of the board, and the other two of whom shall be board members selected by the chairman. The screening panel shall be appointed by the board chairman, and the chairman shall not serve as a screening panel member during the chairman's term in office. The chairman may reappoint screening panel members, or replace screening panel members as necessary at the chairman's discretion.