What Am I Riddles

Question: Round like a dishpan and smaller than a bathtub.But the ocean can't fill it.What is it?

Question: I brighten your day but live in the shade.

What am I?

Question: Having one, means having something to follow. Once you question it, it means having none. People seek it, but some do and some don't find it. What is it?

Question: I'm made up of 12 completely different letters but you can type me with just 1, what am I?

Question: I have a neck but no head, 2 arms but no hands, I go with you to school, I go with you to work. What Am I?