Include the case number and arbitrator's name, as well as a preferred contact number in case the Clerk of Court's staff needs to follow up. 5. Find out how to get an arbitrator appointed and the appointment process.How to fill out the How to File Your Arbitration Case? 1. Confirm if your contract includes an arbitration clause. 2. 2. The plaintiff must state whether the case is eligible for arbitration according to court rule. 3. Written contracts may contain an arbitration clause. By using such a clause, the parties agree to arbitrate any future disputes. Parties in a Fast Trial case must complete all discovery under. Civil Rules 26 through 36 within 120 days after the filing date of the first answer or. So, let's get into the details.