Co-op Cursors

I'm trying to make an original game with FlashDevelop. The goal is simple - to get the box or circle to its destination. But the goal cannot be accomplished with one cursor alone - the level is rewound while the previous cursor(s) have their actions replayed in the scene. For example, one cursor may need to hold down a button, while the other drags an object through an opened gate.

There are still many design problems that I'm trying to iron out.