Thanks for the additional pics! I have not seen those springs in a carrier before so possibly a locker. Just give it a few minutes and someone with more knowledge than myself will definately have an answer
Limited slip, not an Auburn. LSD is great on sand, not so much on rock. If you put them in the front your steering will “search” ( move back and forth) when in 4wd. When I was using them I liked them. Good on dirt and small rocks while climbing hills. Had them in both axles when going with a group and couldn’t quite make it up the side of a steep ravine that some others were having a problem with. Backed down and realized I wasn’t in 4wd yet. The lsd was letting me run in 2wd up until that point while everyone else was in 4wd. Engaged 4wd at that point and just crawled up. I’ve since changed to air lockers that I feel are better for a wide variety of conditions. I think the limited slip is better in sand.