No license may be issued by the registrar until both persons have appeared before the registrar and made application for a license. The registrar shall issue a license to any two persons eligible to marry under this chapter. The license shall be completed in its entirety, dated, signed and sworn to by each applicant and shall state each applicant’s name, age, birthplace, residence, whether single, widowed or divorced and whether under the supervision or control of a conservator or guardian. The Social Security numbers of both persons shall be recorded in the “administrative purposes” section of the license. If the license is signed and sworn to by the applicants on different dates, the later date shall be deemed the date of application.