The offices of each private detective agency shall be supervised by an individual who: holds, as an individual, the license of the private detective agency; or is the representative member of the private detective agency appointed under § 13-302(b) of this title. If a private detective agency is a firm, the agency shall notify the Secretary about: the identity of the individual serving as the representative member of the agency; and each vacancy in that position. Except as provided in paragraph (2) of this subsection, a private detective agency shall appoint a representative member within 90 days after a vacancy occurs in the position. If the vacancy is caused by the death of or an incapacitating injury to the representative member, the private detective agency shall appoint a replacement within 180 days after the vacancy occurs. If a licensed private detective agency fails to appoint a representative member as required under subsection (c) of this section, the license of the private detective agency: is suspended automatically; and shall remain suspended until the agency complies with the requirements. The Secretary may adopt regulations to carry out this section.