I believe you meant to say the square cut end goes through the loop on the hinge, allowing the pointy end to penetrate the hull more easily. Your other pictures appear to confirm this.Use bent pins for the hinge pins instead of wire. Insert the pointy end through the loop in the hinge. It may bind a bit as it turns the corner, but it usually works.
BTW, I've never before seen the rope used to open the door extended through the door and back through the opening, although I don't doubt it was done. On the Bonhomme Richard, for example, two ropes attach to rings on the outside of the door. The inside has two additional rings, which ropes could be attached to (but again, I've not seen them installed), or could just be pulled by grabbing the ring, to pull the door into place.