Hi Leiafee,
Well done on what you have produced. It looks effective!
<< I know if you make the dropzone itself draggable then any objects dropped on it go with it when
you move it. But if you move it using the animation actions, the dropzone moves but the objects stay behind. >>
The drop zone and the object WILL animate together, but not if the drop zone is within a Frame, and you apply the animation to the Frame. (which is what has happened in your case)
If you place the draggable object/s within the same Frame, then they will animate together. Then you would not need the transparency settings, nor the background/border attributes on the drop zone text boxes. The only problem is, when you "animate" the seesaw Frame, all objects in that Frame also animate -- which is not what you want in your case.
So I think what you have done is probably the only solution, due to the layout you have. It works well.
Bear in mind though if you're doing a similar concept, that all objects in the Frame will animate together. This might give you another idea or technique you can apply.
Well done!