Transfer case issues

To place the sprocket inside that planetary gears assy you can see in the picture on top of the chain has been very difficult
following the manual you have marks in the four upper gears.

Okay Ken,

Work is done and it looks okay.
The plastic fork was replaced by aluminum fork.
The H3 drive smooth like months before, while it was parked I replaced my sparks and cleaned up the throttle body.
The thing I noted now is around 30-35 miles the car starts to shake, what can it be?

After the transfer case installed balance? Please, don't scare me, what is the driveshaft? Is it inside the TC or external? I placed everything back as installed before.
I will take the video after living this place this place.

No need for videos, and yes, you were absolutely right.
I got both driveshaft checked and noted one of them was a little out of position, so now it's working fine, no more vibrations.

How can I tell if the plastic fork in my transfer case in my 2006 Hummer H3 is going bad. I have not had any adverse effects, would not mind getting it replaced or machining me a new one. I have alot of experience working on vehicles. It drives around good, I have just heard alot about this part. My father is a GM certified mechanic, I asked him and he told me that if it has no adverse effects then he would not help me pull the transfer case apart. I really dont know how to tell if it is bad.

Ken
I have one issue
the car always drive smooth but randomly gets stuck when you move in reverse for example trying to go out of a parking spot.
I think it's something with the parking brake probably, you can here a noise, like a squeal
what do you think?