What's the only room from which no one can enter or leave

Can you identify the famous TV character from the rebus below?

Find the missing letter in the last circle logically in the given below picture.

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

What Adam and Eve do not have but the rest of the people have?

A boy was at a carnival and went to a booth where a man said to the boy, "If I write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50." The boy looked around and saw no scale so he agrees, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50. How did the man win the bet?

He does not have any heart but still, He manages to live.
If you kill him, you will eventually die but yet you kill him.
He cannot run, who is He?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

Find the hidden tiger in the given optical illusion ?