If you are going to try and square up the trailer with the decking still attached, your going to be sorry. The decking will not allow you to true it up, plus you will be fighting it. You really have no idea if the frame was bent and then the decking replaced or whats going on.
You also need some way to keep all 4 corners at the same plane. When you pull on the two diagonals like you are, you could also potentially make them dive down from the same plane that the other two corners are on since you are pulling over top of the corners.