Great job man! This sounds like work for an expert and not a novice. If this is ever the case for me, I will either ask E to give me a hand or take it to a shop and sit this one out.
You know its actually a really easy job. Like i had mention, the only PITA is inserting the spider gears. everythinng else was about removing bolts and putting them back in. They way i look at it in a nut shell is:
1.Remove wheel
2.drain oil and remove cover
3. Romove c-clip by simply pushing axles inside
4.remove both bearing caps (4bolts) and lightly pry out the carrier
Bata bing bata boom.
If you dont want to fight inserting the spiders gears
Into the carrier, than take the carrier it your local shop.
Now the tedious part is cleaning.
Making sure you have drained and cleaned very good inside the Diff. And on the end of the axles
Depending on how far you want to take it you can (highly suggested) replace the wheel seals and bearings. Bearings looked good on mine so i just regreased them and replaced the seals. $30 for grease and seals and took 15mins to switch em out.
As long as you have the proper attitude, it can become easy. Luckily you have E to give you a hand which will make it even easier. It was just me my self and I with out a car lift ha. But i also had the forum and the webs help.
Speaking of here is a link from DANA on how to service the Limited Slip Diff/Carrier. This should be a "Resources" Sticky.
https://www.google.com/url?sa=t&source=web&rct=j&url=http://www2.dana.com/pdf/5314-2.pdf&ved=0CBoQFjAAahUKEwiawbWHze_IAhVEz2MKHZsTBwM&usg=AFQjCNHkkBsJ25PEBAgZkw10DuDwqHtqNA