(a) No person shall operate or drive a motor vehicle within the Park District if it displays a license plate or a distinctive number or identification mark that meets any of the following criteria:
(1) Is fictitious;
(2) Is a counterfeit or an unlawfully made copy of any distinctive number or identification mark;
(3) Belongs to another motor vehicle, provided that this section does not apply to a motor vehicle that is operated within the Park District when the motor vehicle displays license plates that originally were issued for a motor vehicle that previously was owned by the same person who owns the motor vehicle that is operated within the Park District, during the thirty-day period described in subsection (c) hereof.
(b) Upon the transfer of ownership of a motor vehicle, the registration of the motor vehicle expires, and the original owner shall immediately remove the license plates from the motor vehicle. The transfer of the registration and, where applicable, the license plates from the motor vehicle for which they originally were issued to a succeeding motor vehicle purchased by the same person in whose name the original registration and license plates were issued shall be done within a period not to exceed thirty days. During that thirty-day period, the license plates from the motor vehicle for which they originally were issued may be displayed on the succeeding motor vehicle, and the succeeding motor vehicle may be operated within the Park District.