What does the below rebus riddle means?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

You are trapped into a death trap by the famous jigsaw killer. As usual, a screen flashes in front of you and explains you the trap game. There are 100 pearls kept in a bowl in front of you and an empty bowl. Among the 100 pearls, 50 are white and 50 are black. You can divide them as you like into the two bowls. Once you are done, you will pull a lever, which will turn the room pitch black. The bowls will move and shuffle around. In the dark, you have to pick up one pearl from any bowl. Once you do that, the room will flood with lights again. If the peral you have in your hand is white, you will be allowed to live, but if the pearl you picked is black, the room will be filled with poisonous gas and you will die. How will divide the pearls to increase your chances of survival?

What has to be broken before you can use it?

Why is the longest human nose just 11 inches?

Write the next letter in this sequence.
O, T, T, F, F, S, S, E, __
**Hint: It is a Number Series Puzzle

John enters a small room. The Door Closes.
When the door opens, John is in a larger room.

Explain?

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

What breaks yet never falls, and what falls yet never breaks?