Quickly Solve this riddle

7 - 4 + 3 * 0 + 1 = ?

If Rajina's daughter is my daughter's mom, who am I to Rajina?

What is black when you buy it, red when you use it, and gray when you throw it away?

What is the word or phrase below?
R | E | A | D

A man calls his dog from the opposite side of a river. The dog crosses the river without a bridge or a boat and manages to not get wet. How is this possible?

What is the last thing you take off before bed?

A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?

If you paint a brown house white it will become a white house. If the stoplight changes from red to green, then the light is green. So, if you throw a white shirt into the Red Sea, what will it become?

What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.