I'd skip the arbitration and lawyer up with someone who knows auto laws from personal experience.
Had a 99 Dodge Ram quad cab that was in the shop for 45 days in six months. Couldn't fix the problem and the arbitration mediator voted with the mfg. Got a lawyer and it was settled in a matter of a month.
BTW the arbitration council or what ever it's called is funded by the auto mfgs. Guess who wins 99% of the time?