N.H. Rev. Stat. Ann. § 502-A:11

Each district court shall have the powers of a justice of the peace and quorum throughout the state and shall have original jurisdiction, subject to appeal, of all crimes and offenses committed within the confines of the district in which such court is located which are punishable by a fine not exceeding $2,000 or imprisonment not exceeding one year, or both, including all violations of the provisions of RSA 266:16 and RSA 266:25 pertaining to vehicles exceeding permitted size or weight, regardless of whether the defendant is a natural person or any other person.