1. Shut the door behind you.

2. Shut the door behind yourself.

3. I looked about me.
4. I looked about myself.

5. We have the whole week before us.
6. We have the whole week before ourselves.

(Which expressions are grammatical? Is each pair grammatical?)

Technically, 2, 4, and 6 are grammatically correct, but we don't speak this way. In normal conversation, I'd use 1, 3, and 5.