According to you, the initial answer is that you are a student at school, not a laborer, and the corresponding provisions of the Labor Law and the Labor Contract Law cannot be applied. You and the company have an equal labor relationship, not a labor contract relationship.
3. The agreement that the contract must be signed violates the principle of voluntariness and is invalid.
4. During the internship, if the company specially paid the necessary expenses for you during your internship, if you violated your effective agreement, the company can ask you to refund the expenses incurred during the internship. If you didn't violate it and didn't generate special internship fees for you, of course, you don't have to bear any responsibility.
It is your right to leave your job, but you should inform the other party in writing in advance.
6. If there is an agreement on labor remuneration during your internship, the company should settle your labor remuneration according to your actual daily data and pay it in time.
7. If the company violates your agreement, you can directly sue to the court to claim your rights.