I. Police employees have primary jurisdiction on all turnpikes, toll roads, limited access highways, and interstate highways and nothing in this section shall be construed to limit the authority of local police officers.
II. A police employee shall not act within the limits of a town having a population of more than 3,000 or of any city, except when he or she is enforcing the motor vehicle laws or the regulations relative to the transportation of hazardous materials, witnesses a crime, is in pursuit of a law violator or suspected violator, is in search of a person wanted for a crime committed outside its limits, is in search of a witness of such crime, is faced with public safety exigent circumstances, or when acting as an agent of the director of motor vehicles enforcing rules pertaining to driver licenses, registrations and the inspection of motor vehicles, or when requested to act by an official of another law enforcement agency, or when ordered by the governor. Notwithstanding paragraph I, nothing in this section shall be construed to limit the primary jurisdiction of the local police agency in a town having a population of more than 3,000 or any city.