None of them.
Scabies.
Yes, there is a bee which lays eggs under human skin. first it gets hold of a female mosquito, lays its eggs on it. Then the mosquito, a blood sucker comes and sucks the blood of a human. The eggs eventually are dropped on the skin . Then the eggs go insinde and grow. See more about this on Animal Planet
Birds lay eggs and has a skin covered in feathers.
I don't know if there is a type of spider that does that, but I know that no spider in the world has ever layed eggs under human skin. So I guess it would be the same for animals too.
Lizards.
Forget about how long they take to hatch. Get to an emergency room and get them removed!
amphibian
No. That is not a possibility. The Human Bot Fly lays its eggs on a horsefly or a mosquito, something that will attempt to land on a human. This carrier finds a human and lands on him or her. The eggs rub off onto the human, whose body heat hatches the eggs. The larvae drop onto the skin and burrow right in. Where they live. Under your skin. Eating.
Scabies
yes, you will die if it is not removed within 24hrs.
no
snakes, lizards, iguanas