(a) A domiciliary personal representative of a nonresident decedent may invoke the jurisdiction of the courts of this State after qualifying as ancillary personal representative in this State except that the domiciliary personal representative may invoke such jurisdiction prior to qualification for the purpose of appealing from a decision of the clerk of superior court regarding a question of qualification.
(b) A domiciliary personal representative of a nonresident decedent submits to the jurisdiction of the courts of this State:
(1) As provided in G.S. 1-75.4, or
(2) By receiving payment of money or taking delivery of personal property under G.S. 28A-26-2; or
(3) By acceptance of ancillary letters of administration in this State under G.S. 28A-26-3; or
(4) By doing any act as personal representative in this State which if done as an individual would have given the State jurisdiction over the personal representative as an individual.