I didn't get paid for two months. Do you have to pay if you file a report? Do you need a lawyer?

There is no fee for filing. You don't need a lawyer either. You can still report even without a residence status. Wage arrears complaints can be submitted online through the Ministry of Employment and Labor's Labor Portal (labor.moel.go.kr) or at the customer support office of the local employment and labor office that has jurisdiction over the workplace address. You can ask by calling 1350 for how to apply. 1350's foreign language phone consultations are officially provided in English and Chinese. Separate confirmation is required to confirm whether Nepali or Vietnamese consultation and interpretation are available.