Ah, okay! It's difficult to get good shots of the wheelchair in the package, but I also have the figure loose in my collection. I'll take a few shots of that to give you a better idea of what the wheelchair looks like.
As far as Manhattan Missions goes, items are one-time use -- so after you've gotten the wheel, the rope is gone. No need to swing back across, though, since you can jump across the chasm without it. And even if you do fall in, you can exit through the bottom of the screen (there's a passage leading to the screen on the right of the intro screen).