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?