Earlier quoted context omitted.
Don't you actually have to remain silent? Its not just a game of Simon Says; anything you say can actually be used against you. The only solution is to remain totally silent.
No. If you're under arrest, you'll generally want to help them identify you properly (unless you don't, in which case going through the system as a John Doe [1] is an option and I know people who this worked quite well for) and state that you won't answer questions without an attorney. The act of asking for one gives you protections. Likewise, the police may read you your Miranda rights and try to get you to sign som…
1) Be polite. Always. 2) Make it clear that you're both two professionals trying to get through this as quickly as possible, both of you have better things to do. 3) If you must talk to someone, always talk to the person, never the hat.