What do you call a sad cup of coffee? A ...

I cover your head, but I am not a hat. I am often attached to a coat. What am I?

A safe place to go when you need to lay low, or perhaps a tree fort you made with your bro. A spot to remain to not be seen, or even a place where a villain goes to scheme.

Counting these will kill the pleasure in eating your food

Someone else's job is to fill me, yours is to empty me. Raise my arm and those turn opposite.