Thanks for the helpful suggestions. I have gotten some work done by clicking the "parts are locked" box in properties. This causes each part to be locked as its own entity. But this worked only for pins, not the other shapes I needed to draw. Then I needed to fiddle with the Edit line options > Shared by all parts in component box. Flipping back and forth between parts, I clicked this box on/off a few times with some parts until the setting appeared to take. And the whole process involved more re-drawing than I wanted. But it worked and will do for now.
I will also definitely check out the "Edit pins per part or body style" button.
