Ask a question and you need is it: Is it your turn to lock up? Tell someone something and use it's, short for it is: It's my turn. Check what your sentence does: asking puts is first, telling keeps normal order.
Not every question keeps is first. Inside sentences like I wonder... or I don't know..., standard English keeps statement order, so you write it's, not is it: I don't know if it's ready yet.
So when your sentence only reports a question rather than asking it, treat it as a statement: She asked if it's open on Sundays works, while She asked is it open sounds wrong in writing.