Learn about court-ordered arbitration and mediation, types of cases, process, and more. To be eligible for court-ordered arbitration, a dispute must have been filed as a complaint in the North Carolina court system.The arbitrator, the parties and their counsel shall maintain the privacy of the hearings and other proceedings (e.g. , discovery incident to the arbitration). In North Carolina, arbitration may either be binding or non-binding. In some cases, parties voluntarily agree to arbitrate their dispute. The arbitration shall be conducted pursuant to the North Carolina Basic Rules for Arbitrating Family. North Carolina Family Law Arbitration Act. Arbitration is a process through which two or more parties can resolve a dispute outside of court. North Carolina, Ohio, South Carolina, Tennessee,.