The department shall upon receipt of an application and the proper fee issue a license to take, catch, or kill mussels. All licenses shall begin July 1 and expire on September 30, following issuance. Licenses shall be consecutively numbered as issued, and a record of licenses and their numbers shall be kept by the department. A license shall state whether it is a resident or nonresident license, the address of the licensee, and the amount paid for the license. The license shall also state what waters have been closed to the capture of mussels by the department. Every person while taking, catching, or killing mussels shall have the license required by this section in his or her possession and shall exhibit the license when requested to do so by an authorized officer.