In respect to the local administration of the estate of a nonresident decedent, the provisions of this title govern:
(1) Proceedings, if any, before a Register of Wills or the Court of Chancery in this State, for probate of the will, appointment, removal, supervision and discharge of the local personal representative, and any other order concerning the estate; and
(2) The status, powers, duties and liabilities of any local personal representative and the rights of claimants, purchasers, distributors and others in regard to a local administration.