In '02, all Dakota R/T's had LSD 3.92 (9-1/4") with drum brakes as standard equipment, but LSD axles were also available as optional equipment on every other Dakota configuration you could imagine, in both 8-1/4" and 9-1/4" flavors, in all body trim packages, and in all axle ratios.
My quad cab is 4x4 and has the Trailer Tow Group option, but the LSD still had to be ordered separately because LSD was not included with any particular package outside of the R/T's. My truck also has the 9-1/4" axle, but I'm not sure why, since most of the '02 AWD trucks on this board seem to have the 8-1/4" axle.
The best bet is just to look at vehicle glove boxes and find what you are looking for (axle ratio, axle size, and LSD option are all clearly labeled on the glove box stickers). Some trucks were ordered with LSD. Most were not. All non-R/T's had drum rears up thru maybe the next generation redesign(?). R/T's switched over to disk brakes in 2003(?) or so. Outside of those parameters, any truck could have just about anything offered, and there's no way of knowing without looking.