Generally, if you do an interview and swear on the facts, and they call you up two months later to say....they’d like a second interview, and they simply say that some of your info from the first episode doesn’t fit...you need to find another lawyer and start looking for simple basic truth. A third call? You are screwed with your story and best fall to the ground and tell every single detail.
Another option - Take the 5th. But that doesn’t fly in front of a GJ, I don’t think, unless you don’t mind spending time behind bars until you ‘fess up.