Answer:
Up on high I wave away but not a word can I say.
Add a T and I shoot through the sky. Then add an S and I multiply. What word is it?
What goes through the door without pinching itself? What sits on the stove without burning itself? What sits on the table and is not ashamed?
Long and think, red within, with a nail at the end.
Pirates put their booty in it.
What covers its face with its hands, speaks no language, yet most known what it's saying?
Difficult
Animal
Easy
Food
Funny
Kids
Logic
What am I?