I have branches, but no fruit, trunk or leaves. What am I?

Can you count the number of squares in the figure below?

John went to a parrot shop in Mexico, and the parrot owner told him that his parrot is so unique that he repeats everything he hears. John got excited and immediately bought the parrot. John went home and spoke many words, but the parrot does not repeat anything.
He went again to the parrot shop and complaint to the shopkeeper, but the shopkeeper never lied. Explain?

Identify Me

Hint1: I am a god
Hint 2: I am a planet
Hint 3: measurer of heat

I have no life, but I can die. What am I?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

What is the longest word in the dictionary?

Once while in his court, King Akbar asked Birbal to write something on a wall that makes one sad when read in good times and makes one happy when read in sad times.

He took only a few moment and wrote something that fit the requirements. What did he write?

A boy and a girl are sitting on the porch.
"I'm a boy," says the child with black hair.
"I'm a girl," says the child with red hair.
If at least one of them is lying, who is which?