Parts 3 and 4 of this article [Sections 62-3-301 et seq. and Sections 62-3-401 et seq.] govern proceedings for appointment of a personal representative to succeed one whose appointment has been terminated. After appointment and qualification, a successor personal representative may be substituted in all actions and proceedings to which the former personal representative was a party, and no notice, process, or claim which was given or served upon the former personal representative need be given to or served upon the successor in order to preserve any position or right the person giving the notice or filing the claim may thereby have obtained or preserved with reference to the former personal representative. Except as otherwise ordered by the court, the successor personal representative has the powers and duties in respect to the continued administration which the former personal representative would have had if his appointment had not been terminated.