(a) A last will and testament executed outside this State in the mode prescribed by the law, either of the place where executed or of the testator’s domicile, shall be deemed to be legally executed and shall be of the same force and effect as if executed in the mode prescribed by the laws of this State, provided that the last will and testament is in writing and subscribed by the testator.
(b) When a will is allowed pursuant to subsection (a) of this section, the Probate Division of the Superior Court shall grant letters testamentary or letters of administration with the will annexed, and the letters shall extend to all the estate of the testator in this State. After the payment of enforceable debts and expenses of administration, the estate shall be disposed of according to the will so far as the will may operate upon it, and the residue shall be disposed of as is provided in case of estates in this State belonging to persons who are residents of another state or country.