Answer to question 1: A UTH (under tank heater) will not burn your snake as long as there is a thick enough layer of substrate between the heater and the snake, in my tank I also put a layer of "repti-carpet" to be sure no burns are caused. At first I tried heating my viv with a UTH, but I found that it wasn't hot enough so I switched to a ceramic heat emitter, but that depends on the wattage of your UTH. Keep in mind that having the Viv resting on the ground with UTH attached is a fire hazard, seriously consider constructing a stand to raise the Viv off the ground.
Answer to question 2: On the cool side of the viv(day), it should be between 80f and 85f. On the warm side of the viv(day), it should be between 85f and 90f. On both sides of the viv(night) it should be between 70f and 80f. Changing day and night temperatures is optional, and should occure naturally. Seriously consider purchasing 2 thermometers(one for the cool, one for the warm side) and 1 hygrometer(humidity sensor).
Answer to question 3: I personally feed in the viv(without the newspaper), just as long as you watch the snake feed, it should be fine,
I hope this helps.
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