Immunity and Do-Overs requested for Anthonys

I'm confused here again....as usual. Brad Conway, who is now Cindy and George Anthony's attorney has requested full immunity for them. Cindy and George have admitted to conflicting statements and say they will tell the truth if they can be re-interviewed. What do they mean by conflicting statements". Which statements are conflicting? Is George saying one thing and then another, or is Cindy saying one thing and then another, or are Cindy and George's comments conflicting with each other?
Also, if the Anthony's are granted immunity and are re-interviewed does that mean anything they said before then gets thrown out? Jeez, I really hope not because at the beginning of the case George and Cindy both thought the car smelled like a decomposing body. Further more they still support the Zanny the Nanny storyline. How can they do that and be completely honest???
I'm leaning towards no do-over for the Anthony's. It's too late in the game now. The body has been found. Let the evidence speak LOUD and clear as to the what, when and where in the case of little Caylee Anthony.
Rest in peace, sweet baby.