It looks like it is an LSD. The Axle says "H9".

I did some more research and I also looked under my truck some more and noticed that the pumpkin looks like it's leaking fluid because the bottom right exterior has that wet look. It's not outright dripping, but it's clearly leaking. Also, my right axle seal seems to be leaking at the wheel because it has a wet area around it too.

I was thinking of following this guide here but I don't know if that will be a solution if the clutch pack is bad. Should I open up the pumpkin and see if the gears appear to be warn down or what?