I am soft and cuddly that soothe your heart. But, If you pick my last name I am going to tear you all apart. Who am I?

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

A charming young lady was approached by a kind looking old woman in a restaurant. The old woman said to her, 'You look exactly like my younger daughter. Sadly she passed away a couple of months back. Could you do me a favor and say 'Goodbye, mother' with a kind smile on your face when I leave?

The young lady agreed for the same and said, 'Goodbye, mother' when the old woman left. Soon after, she got the most disengaging shock of her life.

Can you guess what the shock was?

There was an aeroplane crash, every single person died, but two people survived. How is this possible?

Can you count the number of quadrilaterals in the picture below?

What is the last thing you take off before bed?

What is both possible and impossible at the same time?

In my garden, I have many trees but only one of them is the mango tree. In these mango trees, there are some mangoes(as expected).

But after a strong wind, there are neither mangoes on the tree nor on the ground. Explain?

Nine marbles are arranged in the image below. Can you slide two marbles to form a square?

Here is a mathematical expression that also secretly tells a movie name. What movie is that?