Easy enough through several methods to find out whether you have a LS diff, and it has been discussed here before. Simplest raise both rear wheels, transfer in neutral and handbrake off. Rotate one rear wheel by hand. If the other wheel turns the same direction you have a LS diff. If the other wheel rotates in the opposite direction, your diff is not LS.
When I changed my LS diff oil and used "regular" diff oil, it would "groan" during low sped tight turns. A small bottle of GM diff oil (about 4oz) removed the groan.