(a) On application of a party, a court shall appoint one or more arbitrators if:
(1) the arbitration agreement does not provide for a method of appointment; or
(2) the agreed method fails or for any reason cannot be followed; or
(3) an appointed arbitrator fails or is unable to act and his or her successor has not been duly appointed.
(b) If the arbitration agreement provides a method of appointment of arbitrators, that method shall be followed.
(c) An arbitrator appointed by the court has all of the powers of an arbitrator appointed under an agreement.