A person, firm, or corporation aggrieved by an action taken or decision made by the department under RCW 49.12.390 may appeal the action or decision to the director by filing notice of the appeal with the director within thirty days of the department's action or decision. A notice of appeal filed under this section shall stay the effectiveness of a citation or notice of the assessment of a penalty pending review of the appeal by the director, but such appeal shall not stay the effectiveness of an order of immediate restraint issued under RCW 49.12.390. Upon receipt of an appeal, a hearing shall be held in accordance with chapter 34.05 RCW. The director shall issue all final orders after the hearing. The final orders are subject to appeal in accordance with chapter 34.05 RCW. Orders not appealed within the time period specified in chapter 34.05 RCW are final and binding.