(a) When a case is transferred from one court to another, all processes, writs, bonds, recognizances, and other obligations issued by the transferring court are returnable to the court to which the case is transferred as if originally issued by that court.
(b) The obligees in all bonds and recognizances taken in and for a court from which a case is transferred, and all witnesses summoned to appear in a district court from which a case is transferred, are required to appear before the court to which the case is transferred as if the bond, recognizance, or summons was taken in or for that court.