(a) The Supreme Court shall have exclusive jurisdiction of appeals from judgments, rulings, and orders of the Superior Court, administrative agencies, boards, commissions, and officers unless otherwise provided by law.
(b) The Supreme Court shall have original jurisdiction, concurrent with the Superior Court, of proceedings in certiorari, mandamus, prohibition, and quo warranto and shall have jurisdiction to issue all writs, processes, and orders that may be necessary to the furtherance of justice and the regular execution of the law.