Check your rear axle tag and then figure out if you're diff is open or limited slip. Open should take 85W-140, I'd recommend at least semi synthetic if you are going to tow at all. And you don't need a gasket, I've never seen one on a Sterling, just goofy goop.
You can also just pull the diff cover off and inspect as long as you have another rig to get you to the parts store. I'd like to think folks always update the tag if they make a gear/carrier change but experience tells me otherwise, and cracking it open will answer all the questions with little or no mystery