Answer:
My first is in some but not in all. My second is into but not in tall. My third in little but no in big. My fourth in port but not in pig. My whole is made in nature's way. For clothing, rugs used every day.
They are many and one, they wave and they drum, Used to cover a state, they go with you everywhere.
It is an arctic double breasted formal wear.
Face with a tree, skin like the sea. A great beast I am. Yet vermin frightens me.
You can see nothing else, When you look in my face, I will look you in the eye, And I will never lie.
What covers its face with its hands, speaks no language, yet most known what it's saying?