Notwithstanding any other law to the contrary, the intermediate appellate court shall have jurisdiction, subject to transfer as provided in section 602-58 or review on application for a writ of certiorari as provided in section 602-59:
(1) To hear and determine appeals from any court or agency when appeals are allowed by law;
(2) To entertain, in its discretion, any case submitted without suit when there is a question of law that could be the subject of a civil action or proceeding in the circuit court, or tax appeal court, and the parties agree upon the facts upon which the controversy depends; and
(3) To make or issue any order or writ necessary or appropriate in the aid of its jurisdiction, and in such case, any judge may issue a writ or an order to show cause returnable before the court.