Hey! Put the score - and other stuff you want to stay put - in their own layer and then set that layers parallax to 0, 0. Make sure that layer is above the others in your game so it doesn't disappear underneath everything.
EDIT: missed the second part of your question at first. You can right click the items you want in the corner and select align. From there you'll find a drop selection with option for alignment, assuming you don't want to set the position yourself.