Not sure really what your asking but...usually you have 2 lowers and one upper link with a trackbar. Some people do 2 uppers and 1 lower but I wouldn't suggest that.
Yeah you can do that. That's how the majority of 3 links are done. Although you will need a panhard bar. On the 3 link of my YJ, I have my upper link on the opposite side of the axle as the differential. If that's what you're asking. I would recommend welding the pumpkin to the tubes.
Reason most people put the solid link in a radius arm setup or the upper and lower in a typical 3 link on the short side is to put it closer to the driveshaft so that the Dshaft u-joint goes through less angle change than if it were next to the single link.