A. The parish court shall have criminal jurisdiction over all violations of state law and parish or municipal ordinances committed within its territorial jurisdiction which are punishable by a fine not exceeding one thousand dollars or by imprisonment not exceeding six months, or both. This jurisdiction shall be concurrent with any jurisdiction conferred by law upon the district court.
B. As to all other violations of state law or of a parish or municipal ordinance, the parish court shall have the power to issue warrants of arrest, to examine, commit, admit to bail and discharge, and to hold preliminary examinations in all cases not capital.