Answer:
What goes up and down but does not move?
I am often sold by children entrepreneurs in summer time
Soft and cuddly I'll pull on your heart. But take my last name and I'll tear you apart.
What gets broken without being held?
When I am caught, I am thrown away. When I escape, you itch all day. What am I?
Give it food and it will live, give it water and it will die.