On registration of a child's birth, the registrar-general must not include information about the identity of a child's parent in the register unless—
(a) the information is contained in a document lodged under section 5 in relation to the child; or
(b) the parents of the child apply for the inclusion of the information; or
(c) a parent of the child applies for the inclusion of the information and the registrar-general is satisfied that the other parent is dead or cannot join in the application because the other parent cannot be found or for any other reason; or
(d) a parent of the child applies for the inclusion of the information and the registrar-general is satisfied that the other parent does not dispute the correctness of the information; or
(e) the registrar-general is entitled under an Act or a law of a State, the Commonwealth or another Territory to make a presumption about the identity of a parent of the child; or
(f) the inclusion of the information is authorised by regulation.