Congrats on fixing the part you started out after - the mirrors. 

Unwind the gears off the teeth like it was when you pulled it out of the door and the spring fell off. Then with it as far as it will go in that direction put the spring on and then push it back up towards the teeth (against Spring pressure) Then used the window crank to start the teeth engagement again. There is a lot of pressure with the spring so extra hands help here to turn the crank while holding the spring pressure. 

Hope that makes more sense.

 

@Tweeds

7tooZ, by 'felt in the channels', are you referring to the bit of weather-stripping at the base of the window frame(where the window emerges from the door), the top of the door, or both?

all of the channels are lined with a felt like material. Just a thought to check before you put it all back.
I have used white lithium lube but there are other products. 

It's all reinstalled and working properly! Put it everything back in the door yesterday, but didn't have the opportunity to takes pictures until today. I believe the smudge you can see on the window is from excess grease - not a scratch. Thanks everybody!

Excellent job.