Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

What is at the end of a rainbow?

It is always ahead of me yet I can never see it. What is it?

People put me on the table and cut me but do not eat me. What am I?

If a boy blows 18 bubbles,
Then pops 6 eats 7 and then
He pops 5 and blows 1.
How many are left?

What runs around the whole yard without moving?

Living above a star, I do not burn
Eleven friends and they do not turn
I can just be visited in a sequence, not once or repeatedly
PQRS are my initials
Can you tell my name accurately?

Name the three-letter word that can complete the below words?

A) L O _ _ _ E
B) E D U _ _ _ E
C) _ _ _ E R
D) _ _ _ T L E

There are 2 cops parked along a one-way street looking for traffic violations. They spot a taxi driver going in the wrong direction, yet they do nothing.

Why?

I have eight fingers and two thumbs but I do not live. What Am I?