What is both possible and impossible at the same time?

Below rebus represent famous DiCaprio movie. Can you name it?

I have four wings but can't fly.
I express no emotions.
I am found on the exact spot every time you look.
I keep toiling away with a little sound.

Do you know what am I?

Can you find the odd number in the following?

2716, 4135, 5321 and 7145

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

The richest man in the city Mr Rechard is kidnapped. James Bond is appointed to the case. At the crime scene, a note is found written by Mr Richard. The note read:

"First of January, Fourth of October, Fifth of March, Third of June."

James Bond knew that somehow, the killer's name was hidden in the note. The following were the suspects:

Jack Richard, the son and the heir of property.
John Jacobson, the employee of Richard.
June Richard, the wife of Richard.

James Bond took only a few moments to deduce the killer's name. Can you tell who was the killer?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Keyboard words are not in alphabetical order, Why?