The division of taxation within the department of administration is designated as the state income withholding agency for all income withholding orders issued or registered in Rhode Island and shall have all powers, duties, and responsibilities to establish and administer income withholding in accordance with this chapter, and is further authorized and directed to promulgate rules and regulations that it deems necessary to implement the provisions and purposes of this chapter; provided, that any rule or regulation affecting the duties and responsibilities of the family court shall be made with the concurrence of the chief judge of the family court.