False Confessions

Though it doesn't go with false confessions... I have another legal question that has bothered me. It deals with the questioning part where two circles were drawn... one being where the "good guys" were... the cops, lawyers and judges and the other one being where the "bad guys" were... being Damien and Jason. The question to Jesse was where did he want to be.
There is a SCourt case called the "Christian Burial"... a man had killed a child and the police couldn't find the body. So, they had the perp in the car with them and were driving. It was Christmas and freezing outside. The police knew that this man in the backseat was vulnerable to aspects of religion. So, the one policeman commented that it would be nice if they could find the body so that the families could have peace and give the child a Christian burial. So the man told them where to go retrieve the body.
In the WM3 case, the police know that Jessie is not a smart individual. They know they can lead him on to confess to anything they say. It didn't take a rocket scientist to figure that out about Jessie. Most likely they already knew that ever before he came into the station. And, so, now I refer you back up to the two circles drawn during the questioning of him. My question is, do these cases relate and shouldn't Jessie's entire collection of confessions be thrown out with just cause?
I don't have my textbook anymore and haven't been to law classes in several years now, but I still have contact with my professor who is an attorney and can cite the case. I just wanted the question answered for me on the board. So....