Question: I can run but never walk. Wherever I go, thought are close behind me.

What am I?

Question: What kind of room has no doors or windows?

Question: What loses its head in the morning and gets it back at night?

Question: What starts with "P" and ends with "E" and has more than 1000 letters?

Question: The more it dries, the wetter it becomes.

What is it?