These are excellent questions, and each of them has an excellent answer!

Why are people mean to each other?

Because each other are different.

Why is there hunger in a world of plenty?

To incite change.

How can we establish a true peace?

By introverting people with snide invalidations so they will look within, which is where true peace is found.

Why am I so darned good looking and no one else is?

BEcause you do not see them as you see yourself, and vice versa.

What came before the Big Bang?

The Big Bang minus 1.

Is the number just before infinity infinity minus 1, or something else?

Yes.

If 1+1=2, why doesn't 2+2=3?

Because 1+1=2.

If there is a God and s/he is all-everything, why must we worship?

No reason. In fact, it is not the case that we must worship.