Jina must go home-? What should be the antonym problem and why?

Hello! Antisense question: Doesn't Jina have to go home? Doesn't Jina need to go home? Because the verb in the original sentence is has, the auxiliary verb of this antonym question is not. I hope you can adopt it. Thank you for your support! Follow-up: Gina is going home? Answer: If you need to add an antonym interrogative pronoun after home, fill in not. That is: Jina has to go home, doesn't he? If you ask the antonym question directly, isn't Jina going home?