In the discharge of his or her duties and in the trial of cases, the Municipal Judge shall follow the rules prescribed by law for criminal proceedings before a magistrate of the state. The Municipal Judge shall keep a record of all warrants issued by him or her, of all persons arrested and brought before him or her and of all trials, fines, or sentences imposed or judgments entered by him or her in a permanent book to be known as the Municipal Court docket. A record of all entries made in such docket shall be signed by the Municipal Judge on the date of such entry.