I am in total agreement with Mr. Myshin. DO NOT talk with or meet with police under any circumstances without benefit of counsel. IF you are arrested DO NOT talk with police/answer their questions about the matter under investigation. The officer is most assuredly seeking evidence against you.
I share your suspicion and the suspicion of my colleagues who have already answered. Don't talk to him without speaking with counsel first.
As for your lack of money, many lawyers--including some in your area--offer a free consultation. It sounds to me like you might be charged whether you speak to the officer or not. I'd take somebody's offer for a free consult.
Cops lie all the time and get people to confess. That is most likely what is happening here. DO not talk to the police or answer any questions about the crime.
R. Jason de Groot, Esq.,
Everybody is right. If you get the cops to agree to this, that agreement is not enforceable. In criminal law, only agreements between the DA and the defendant's lawyer, are enforceable. I am suspicious of the cop. I would tell him, we want to agree to this but our lawyer says if we cooperate with you, it can only be an agreement as you say,if made between our lawyer and the DA.