Can I win an unemployment telephone appeal without a lawyer?

After working as a delivery driver for the same company for close to 8 years, I was let go due to a license suspension for an alleged DUI. I was riding a mechanically poor small scooter one weekend while not anywhere near work. First time error in judgement, no malice intended, single incident. I was told to come back to work once my license was straightened out. My unemployment claim was denied. How will I fare at my upcoming telephone hearing with or without a lawyer of which, for obvious reasons cannot afford anyway. Thanks for your time.