1) It has the same touch screen features as the Vita version. They exist, but most people wish they were more extensive.
2) I haven't heard about HD rumble and I assume it doesn't have it.
3) The battery life is supposedly actually really good. One journo reported that 30 minutes of play drained only 8% of battery.
4) The survival mode has a Mario version if that's what you're asking.
5) Gud.
That all sounds good! Looking forward to playing it.