I have a functional A35 kickstart right now, so I can try to snag a picture. You're right, there aren't any good pictures online. It was a pain for me to try to figure it out the first time.
The coil return spring has a tab on each end. One end fits into the kickstart lever, the other end rests against the skinny flat part of the tab in your picture. That holds the spring under tension when you kick the lever, it springs back. The real trick is getting the kick starter shaft lined up before you begin, so its in the right position to hammer the dowel pin back, when you have the whole sandwich lined up properly.