If your unemployment benefits come from the state like in WA, you probably have to go through the state unemployment department's established procedures for making the claim. If the state initially finds against you based on paper submissions, you appeal asking the agency for a hearing. At the hearing you get to challenge the affidavits, call in your own witnesses etc. In many states, you must go through all of the state agency's hearings and appeals before seeking court review (on issue of entitlement to unemployment benefits). A claim for wrongful termination against the employer can often proceed independently of any unemployment comp case but that seems to be outside the scope of your question. State law usually governs state unemployment claims so you should discuss exactly how this all works with local counsel.