A court of this state has jurisdiction to appoint a guardian or issue a protective order for a respondent if
(1) this state is the respondent's home state;
(2) on the date the petition is filed, this state is a significant-connection state, and
(A) the respondent does not have a home state or a court of the respondent's home state has declined to exercise jurisdiction because this state is a more appropriate forum; or
(B) the respondent has a home state, a petition for an appointment or order is not pending in a court of that state or another significant-connection state, and, before the court makes an appointment or issues an order,
(i) a petition for an appointment or order is not filed in the respondent's home state;
(ii) an objection to the court's jurisdiction is not filed by a person required to be notified of the proceeding; and
(iii) the court in this state concludes that it is an appropriate forum under the factors set out in AS 13.27.140;
(3) this state does not have jurisdiction under either (1) or (2) of this section and the respondent's home state and all significant-connection states have declined to exercise jurisdiction under AS 13.27.140 because
(A) this state is the more appropriate forum; and
(B) jurisdiction in this state is consistent with the constitutions of this state and the United States; or
(4) the requirements for special jurisdiction under AS 13.27.120 are met.