For #2, there are toilets at Outpost Camp, toilets at Trail Camp, and a charming little dunny about 50 yards from the summit.
Otherwise, you're encouraged to NOT do what bears do and, if you have to go between these points, pack out your poop (bags available at the Lone Pine ranger station and, I believe, the trailhead, although I could be wrong about that).
When it comes to #1, DO do what bears do. Of course, bears don't know not to do it near a water source, and they don't know not to do it exactly where the rest of us will be stepping, and they don't know how to post lookouts.
Enjoy the view
