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Ok, here is my tutorial on how to put a by-starter back together. If you look at this picture
you can see an exploded view of the by-starter. It's actually quite simple to put together once you know what part goes where. First, push the small silver rod(notch side first)into the hole on the golden looking piece with the o-ring in the middle and the spring attached to it. Then, push the bigger spring over the top of the small black cylindrical piece with the small needle valve piece on it. After that, push the two pieces together as shown in this picture
Once that's done, place the very small metal-like disc piece inside the top plastic assembly(with the two wire leads attached to it) as shown here
Then, place that middle assembly you just put together inside the bottom round plastic piece (with the threads on the outer rim) as shown here
All you have to do now is push that bottom assembly up into the top assembly, being careful the metal disc doesn't fall out or the springs pop lose. While pushing the two assembelies together, screw the bottom piece into the top one as shown here
and keep screwing in until you come to this point here
Now that it is complete, push it back on the carb, screw on the clamp, and try it out! One way to test it before you install it on the bike; hold the yellow lead on the positive terminal and the green lead on the negative terminal of the spree's battery. It is better if you do this carefully with some alligator clips, but if you are patient, you should(very slowly) see the needle valve move outwards as long as you hold it there(to an extent of course). If it moves, you know it's operating good; if it doesn't, then either you didn't install it correctly, or you need a new by-starter.
If anyone has any questions or needs more detail regarding this topic I will be glad to answer them to the best of my ability.
Good luck,
JF