Court reporters shall be appointed by the Supreme Court or the Administrative Director of the Courts as provided by law and shall be subject to assignment by the Administrative Director of the Courts. They shall be responsible to and under the supervision of the reporter supervisor of the county, the judge of the court to which assigned, the Assignment Judge of the county, and the Administrative Director of the Courts. The Administrative Director of the Courts shall promulgate regulations which shall govern all court reporters and the preparation and filing of transcripts of all court and related proceedings, including depositions in pending actions