(a) Any Jacksonville State University police officer appointed pursuant to this section or Section 16-22-1, is a peace officer whose authority extends to any place in the state. The primary duty of the police officer shall be the enforcement of the law on property owned or leased by Jacksonville State University. The police officer shall not otherwise act as a peace officer in enforcing the law except:
(1) When in pursuit of any offender or suspected offender who is charged with the commission of a crime while on the premises of the institution.
(2) To make arrests otherwise lawfully for crimes committed, or for which there is probable cause to believe have been committed, within his or her presence or within the boundaries of the property owned or leased by the institution.
(b) The provisions of this section granting authority to a police officer at this institution of higher learning in the State of Alabama are not intended to limit or abridge any powers heretofore granted to police officers by law and this section is to be considered cumulative.
(c) Nothing in this section shall grant authority to any persons appointed under this section to enter a classroom for the purpose of enforcing traffic or parking citations.