Your blue line doesn't look right to me. The second diagram is the one to aim for. Here's why:
This is the diagram just for the middle switch position, which should select both pickups. The red spots show which terminals on the neck pickup side are connected to each other in that switch position. The neck pickup wire connects to the other red terminal, but that is not connected to the output. It's the same on the bridge pickup side (green spots).
The bottom diagram shows the two additional links required to connect the each pickup to the output wire in this position. If you go back to the full diagram you can connect the green dots to see which switch position will include the bridge, and connect the red dots to see when the neck is connected. The purple circles just highlight the critical spots.
As far as I can tell from your photo, the two green lines I have drawn correspond to where you need extra links. But please test first without soldering if you can.