1. "Last year" indicates Past Simple, so the auxiliary verb is "did".
2. "Definitely" is not appropriate here, you should echo a name
3. In negative short answers, negative auxiliary verb is used.
1. "Last year" indicates Past Simple, so the auxiliary verb is "did".
2. "Definitely" is not appropriate here, you should echo a name
3. In negative short answers, negative auxiliary verb is used.