I am sorry but I cannot be very helpful here. GE likes to keep tech data a secret and you need a wiring diagram to figure out which wire goes where. Strange that your certified GE tech does not have this.
Hopefully someone else with this info will jump in.

Check in the compressor area to see if you can find the wiring diagram.
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My husband removed the fan (which had 4 wires, red, blue, yellow and white-inserted into a white plastic clip) which was attached to another white clip on the frig end that had a red , red, and white wire.[/COLOR]
Strange that the color code does not match up

[COLOR="Blue"]WE are wondering if this refridgerator was even built properly.[/COLOR]
Yes it does sound like the harness was never put together properly.
It is strange that the pins did not back out when they plugged the fan motot in at the factory. Who knows this may be your only problem re: a bad fan connection at this plug.

I am assuming that you now have 3 wires with the little pins or receptacles attached. If you look closely at them you will see one or two little tabs that face back towards the wire. These have to be bent up. Then when you push the pin into the plastic plug they catch onto a lip in the plug and stop the pins from backing out.
Hope I explained this OK.

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The repairman will not even try and put it back together for us, as he does not know what orientation the wires should be, and does not want any liability.[/COLOR]
I cannot see why a so called certified tech cannot get the required info. but there may be a valid reason.

Shouldn't the wires have been secured better in this plastic clip?
Yes
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If this is how they are supposed to just haphazardly "sit" in this clip- no wonder the fan doesn't work![/COLOR]
No the pins should lock into the plug.

[COLOR="Blue"]Should I contact GE? [/COLOR]
Unless you can find the wiring diagram or someone else is able to provide it, you may have no other choice.
Who knows they may even repair it at no charge since it does sound like a manufacturing fault.
That would be a long shot so if they do, it is your lucky day and I would also buy a lottery ticket.