Should I let them pay?

Students at school do not have the qualifications of workers, can not establish labor relations, do not apply to labor law, and can not apply for labor dispute arbitration. Even if you apply to the labor dispute arbitration commission, it will not be accepted. Your relationship with the hotel belongs to labor relations, not to labour relation. You can only file a civil lawsuit according to the General Principles of the Civil Law and the relevant provisions of its judicial interpretation. If you are satisfied, please adopt it.