Before you open it up put it in neutral with the brake on and wheels chocked to check your u-joints. Then you can drop the driveshaft and check the pinion nut....put a torque wrench on that baby and get it up to at least 150 lb/ft, better yet try for about 170.....I can't remember the exact spec but you probably can't get much more than that with an ordinary torque wrench.
If all that checks out get a dial indicator so you can check the lash when you pull the cover. It should be around 8 to 13 thousandths. Look on you tube.
Don't forget the proper sealer for the cover either.
Setting the lash is easy, all you need is a 5/16 socket to remove the lash adjuster locks and a good drift or punch with a hammer to turn the adjusters. Don't be afraid to put a little pre-load pressure on the diff carrier bearings either.....because you probably don't have any right now. Triple check the lash to ensure it's not too much!
If you can't get a dial indicator you can still add some pre-load to the carrier bearings by moving both adjusters the same number of holes.....Left one going down, right one going up. Once again, I'm willing to bet the pre-load is gone. Mine was literally chunking from side to side a few thousandths, which will cause noise. Those bearings have to be pretty tight!
You may have some metal filings on the drain plug, which is ok as long as it's only some. Also crack your fill plug first to ensure it's working.