Yer the problem seems to be were the spring is secured. When you put the wheel on top of the spring there is nothing left of the column to locate the bridge. If you try the spring will not stay in position. I was hoping someone had come across this problem.
I believe it is a NH 36 movement. it is a center second hand.. Yes, it does seem to run without the hands. I have purchased another movement on Ebay. Just haven't gone back to work with it. It was no problem putting on the Hour and minute hand. The second hand was a problem. I fear I may have pressed to hard. Getting them off was and is quite a chore. The kit in question was there retro kit when I purchased it, it was $140 now $200.