Easy way to tell if it's open or l/s, look at the axle code, 2 numbers denotes an open diff(39 for example) and a letter and a number denotes a limited slip(H9 for example.) In good condition, the 10.25 limited slips work OK, but, personally, other than the tire wear, I prefer the predictability and tractability of having the rear welded... I miss the one I swapped out of the diesel into the 460 truck, but, it was just too ******* tires when towing.
That said, if I was going to run a limited slip, the later 10.5 units are a better design, and when new work MUCH better.