Why is 'Do you wear suits?' marked as incorrect? I do not understand.
This is not a question about what you like to wear in general. It simply asks whether you have a suit on (imagine a telephone conversation).
shouldn't she say it as 'shoot' rather than 'syoot'?
No, the 'iw' is a diphthong so you don't say the 'siw' as 'shoo' but like 'syoo' because 'iw' is said 'you'.