How does she react when she has an accident?

I'm picturing myself standing at an intersection with all my kids and daycare kids and my daughter having an accident. There would be build-up (ie. Mommy, I have to go pee! I have to pee! Have to pee!) and then the accident followed by her being upset (crying, panicking, etc). From what you describe in your first post, I'm picturing you standing at the corner with a bunch of kids and one kid just starts peeing all over the sidewalk and then keeps on walking like nothing happened.

How does she respond to redirection etc around the other issues? Ie. "DCG, please don't pick at the carpet, you'll make a hole." Does she stop and move on to something else? Or does she deliberately continue to pick at the carpet? I find sometimes with kids they'll pull at something just because it's there if that makes sense? There is a small gouge in the wall in my front entrance and whenever my daughter sees it, she picks at it. When I remind her not to pick it though, she stops.