Answer:
I tremble at each breath of air, and yet can heaviest burdens bear.
There is an ancient invention. Still used in some parts of the world today. That allows people to see through walls.
I hide but my head is outside.
It regulates our daily movements, but it feels no interest in our lives. It directs us when to come and go, but does not care if we pay attention. What is it?
A tree with 5 branches, no leaves and no fruits
I have two eyes in the front and a lot of eyes on my tail