I would have thought they didn't show Karl kill Sunita so that we'd be unsure whether he did or not. As the doctor said, she could have pulled it out herself, although I think that Karl did do it.
Yes, that's what I was thinking. If she woke up in hospital and saw/heard Karl (as we saw) there is a good chance she could have gone into a panic and disrupted the tube. OR, he could have dislodged it himself.