Here I got some present perfect questions, but am not sure if they are grammatically correct.

- "Have/has you each bought the boarding passes together?"

- "Have/has you bought each of the boarding passes together?"

- "Have/has each of you bought the boarding passes together?"

1- Assuming that

**EACH**is singular, should the auxiliary verb "

**have**" be singular?

2- Is it better to use

**EACH**as an adverb (1) or as a quantifier (2, 3)?

Thanks.