(a) In civil cases in the district court there shall be a right to trial by a jury of 12 in conformity with Rules 38 and 39 of the Rules of Civil Procedure.
(b) In criminal cases there shall be no jury trials in the district court. Upon appeal to superior court trial shall be de novo, with jury trial as provided by law.
(c) In adjudicatory hearings for infractions, there shall be no right to trial by jury in the district court.