A. In the county in which the municipality whose ordinances are alleged to have been violated is located, a law enforcement officer with jurisdiction in that county may serve any municipal court process or make any arrests authorized by law to be made.
B. In counties adjacent to the county in which the municipality whose ordinances are alleged to have been violated is located, a law enforcement officer with jurisdiction in that county may serve any municipal court process or make any arrests authorized by law to be made, except for any service or arrest emanating from parking violations alleged to have occurred in a municipality located in another county.