Should I vs. "Shall I" vs. "Do I" in AE?

Question

In colloquial prose, is there some difference to saying "Should I/we", Shall I/we", "Do I/we" to ask someone's advice?E.g.> Should I call the police?Sounds like I'm asking someone (or myself) if I would be well advised to call the police.> Should we call the police?Sounds like I'm asking someone (or a third party) if we would be well advised to call the police.> Shall I/we call the police?Sounds like I'm asking someone to decide on whether I/we should call the police.> Do I/we call the police?Sounds like I'm asking someone if it's necessary I/we call the police (e.g. in case something in the neighborhood doesn't look or feel right to me/us)Am I right on these ones or are there some other differences I didn't notice?

Answer 1

You're on the money. I might add also, with "do" that you could be asking if it is appropriate to call the police. With "should" you could also be asking if it is a requirement or obligation to call the police.