At that point I would have told them I wasn't going to answer any more questions without legal counsel. It's okay for a cop to lie to you, but it's not okay for you to lie to them (though you did it under duress).
You need the "Bust Card."
Take a look at this, too. Free Legal Information
I hope you were taping this session.
Yes I was taping it. I tape everything now. I’m probably video taping me typing this right now.