I was looking at mobil one and I noticed it said in big letters (LS) on the label, yet others don't, like vavoline which I use on gear oils, etc. do you or don't you want a LS property? is the brp gear oil LS
Limited slip additive is needed in differentials that use clutches to minimize chatter while turning under load. Our machines don't have clutch style limited slips. You could certainly use that oil, but it is not required.
Also you want to get a full synthetic gl-5 rated oil with the manual's specified weight. They make gl-5 oil that is non-synthetic and is supposed to be used in top off situations only. Found that out the hard way on my truck. Thought I was saving a buck.