Section 5A. The office of the deputy court administrator of a department of the trial court, as provided in section 1, shall be filled by appointment by the court administrator and the chief justice of each department of the trial court; provided, however, that said deputy court administrator shall not be a justice of the trial court and shall devote his full time to the duties of his office. A deputy court administrator shall hold said office for a term that shall be coterminous with the terms of the chief justices of their respective court departments and shall be eligible to be reappointed to serve additional terms. A deputy court administrator, so appointed, may be removed from that office prior to the expiration of his term by the court administrator and the chief justice of the respective court departments.

The chief justice or deputy court administrator of the respective court departments shall submit any dispute that arises between said chief justice and said deputy court administrator, concerning the management and administration of the respective court departments, to the chief justice of the trial court and the court administrator, who shall, within 30 days, determine the matter.