If you have an 8.8 with the positraction unit (clutches inside the carrier) then you are supposed to run the friction additive that Motorcraft sells at the Dealerships. Its a little bottle that doesn't cost but a few dollars. I'm thinking the oil is 90W but there should be a tag that was on the diff cover that will tell you. If your 8.8 didn't have two tags, one on the left side of the cover and one on the right side then it's not a posi. It will just be a regular differential fluid, nothing special.
The reason for two tags is one tells you the ratio and the other tells you to run the specific weight oil and the additive.