No, I personally don't possess any proof of #1, but enough other people have witnessed her feeding her kids junk food frequently, that I think there is something to it.
Being high when she stumbled is a pretty good assumption considering how much of a substance abuser she is. She was photographed on a street with child on one side and a glass in the other, I saw that shot.
The child in her lap when she was driving was photographed, so there is evidence of that, and they all are valid points whether you agree or not.