In any proceeding in the family court, the court may render a personal judgment against a party who is outside of this State and over whom jurisdiction is acquired by service of process in the manner set forth in section 580-3(b) or (c), if the party was personally served with a copy of the summons or order to show cause and complaint or other pleading upon which the judgment is based and if the party was a domiciliary of this State at the time:
(1) The cause of action that is the subject of the proceeding arose;
(2) Of the commencement of the proceeding; or
(3) Of service.