Good Riddles

Question: I hold many different components, including a fiery heart. I was born as a rock, being molded from the start. I dance around my fiery neighbor, but he doesn't dance with me. Instead, he provides my children with long-lasting energy. What am I?

Question: What has thousands of ears but can't hear a thing?

Question: What can run but can't fly?

Question: You went into the forest and got me,
you sat down to find me,
you went home with me because you couldn't find me.

What am I?

Question: There are two boys at an international math contest in December 2013; one is British and one is American. They both write their names, the date, and their answers on the paper. The only problem is that they both have the same name and the papers cannot be told apart.

What is the date?