Trial by jury

I am sorry I have lots of questions. Do I have the right to request a trial by jury for an order to show cause for contempt for a contractual agreement for alimony?

Most domestic issues in North Carolina are bench trials, and there is no right to a jury trial unless you are trying to establish martial misconduct ( in the course of the original proceedings) or in third party suits against a spouses’ paramour which are not applicable in this case.
Further, if alimony is contained in a contract you may not file a motion for contempt as contempt motions deal with court orders, not contracts.