Yes, the new owners manuals for these trucks do not list the required lubricant and you need to have the dealer run the VIN. The 1500 models use 75w80 but the 2500 and 3500 units use 75W90. You can chalk this one up to gas mileage issues. If you like, change it to 75W90 synthetic. There is no drain plug on the 1500 (AFAIK), so you’ll have to loosen up the bolts on the diff and crack the seal. Some are comfortable just tightening up the bolts again. If you want you can take the cover off and clean the magnet to get rid of any of the early metal wear.
The transfer case is a Magna Powertrain (MP) and specs Dexron VI. Magna has been suppling GM with truck transfer cases for almost 20 years and it has always spec’d Dexron VI (Dex VI). The 2500 and 3500 also get beefed up versions of MP transfer cases but still use Dex VI.