(a) A person who has reached the age of 16 but is under the age of 18 shall be issued a marriage license if the written consent of the parents, the parent having actual care, custody, and control, or a guardian of the underaged person is filed with the licensing officer issuing the marriage license under AS 25.05.111.
(b) A superior court judge may grant permission for a person who has reached the age of 14 but is under the age of 18 to marry and may order the licensing officer to issue the license if the judge finds, following a hearing at which the parents and minor are given the opportunity to appear and be heard, that the marriage is in the best interest of the minor and that either
(1) the parents have given their consent; or
(2) the parents are
(A) arbitrarily and capriciously withholding consent;
(B) absent or otherwise unaccountable;
(C) in disagreement among themselves on the question; or
(D) unfit to decide the matter.