The presenting bank and the endorsers of a state warrant or check presented to the Treasurer for redemption are deemed to guarantee that all prior endorsements are genuine, whether or not an express guaranty is placed on the item. When the first endorsement has been made by one other than the payee personally, the presenting bank and the endorsers are deemed to guarantee to the Treasurer, in addition to other warranties, that the person who so endorsed had unqualified capacity and authority to endorse the item on behalf of the payee.