The police want me to talk about a crime they think I committed. Should I comply?
You should never comply. It is the job of the police and later the prosecutor’s office to prove beyond and to the exclusion of each and every reasonable doubt that you committed that offense. It is never your job to prove that you didn’t commit the offense. If the officer has enough information to believe that you committed the offense, probable cause they can get a warrant, and then you would be arrested.
If they don’t have enough information to say you committed that offense, they can’t get that warrant. A lot of times that’s when they’ll talk to you to see if they can get additional information from you, that can and will be used against you later on.
Your words can be misinterpreted or flat out twisted.
It’s best to talk to an attorney the moment you are contacted by law enforcement. Don’t wait. Contact an attorney right away in that situation.