Carrier looks like an LSD one (squared off at the NRGS end instead of sorta conical/rounded), and I think I see clutch packs or something above the NRGS side gear. The real indication is cast into the NRGS (that's the Non Ring Gear Side) end of the housing, right next to where the carrier bearing presses on. It should say "Trac - Lok" or similar, I have one sitting here next to me right now. Here's what the mark looks like:
For comparison, here's what a gerotor Vari-Lok looks like:
(this nicely demonstrates why you need special axleshafts to run a vari-lok diff.)
So what you have there is almost certainly an LSD... in a chrysler product it is termed a "trac-lok".