The powers of police officers appointed by a tribe pursuant to this article may be exercised only upon the premises of the reservation of the tribe, and a police officer may not otherwise act as a police officer while off the premises of his or her reservation, except under either of the following conditions:
(1) When in appropriate pursuit off the reservation of any offender or suspected offender who is charged with the commission of a crime while on the premises of the reservation.
(2) To make lawful arrests for a felony committed, or for which there is probable cause to believe has been committed, in the presence of the police officer or within the boundaries of the property owned or operated by the tribe.