Wherever in any general or public law the words “juvenile court,” “judge of juvenile court,” or “chief judge of the juvenile court” shall appear, the terms shall mean and include “family court,” “justice of family court,” or “chief judge of the family court.” Wherever in any general or public law the words “domestic relations court,” “court of domestic relations,” or “judge of domestic relations court” shall appear, the terms shall mean and include “family court” or “chief judge or any associate justice of family court.” Wherever in title 15 reference is made to the superior court or the court of domestic relations, that reference shall mean and include the family court. In addition to the powers and authority specifically granted in this chapter, the justices of the family court shall have, insofar as they are applicable, the same obligations and duties as superior court justices, and in all matters within the jurisdiction of the court shall be vested with all of the prerogatives and authority of associate justices of the superior court.