Subject to subchapter III of this chapter and §§ 8-607 and 8-609 of this title, a proceeding to adjudicate parentage may be maintained by:
(1) The child;
(2) The mother of the child;
(3) A man whose paternity of the child is to be adjudicated;
(4) The support-enforcement agency;
(5) An authorized adoption agency or licensed child-placing agency; or
(6) A representative authorized by law to act for an individual who would otherwise be entitled to maintain a proceeding but who is deceased, incapacitated, or a minor.