The licensing agency shall not issue any dog license under this chapter without presentation of a certificate of vaccination signed by a veterinarian showing that the dog has been vaccinated with an approved rabies vaccine and the period of time from the date of vaccination to the date of expiration of the license being issued does not exceed the time interval prescribed by the State Department of Health. Where a certificate of vaccination shows that a dog should not be vaccinated due to infirmity or other disability, the nature of the infirmity or other disability and the estimated date of termination thereof shall be shown.