Uh..well, if you are able to feel vibration in your steering wheel, then yes I would say it's a balancing problem.

But as far as your rattling noise, that's a different issue. Something, might be loose, what I would do is look at everything more closely, jack up all side and try to wiggle things around like Torque mentioned, your tie rods (nothing should wiggle), look at mounting points in the coilpack, make sure your spring is seated correctly, look at shocks, make sure no shocks are blown (by looking for oily residue around the shock housing, although if they are gas charged, then the simple bounce test might give you an idea, bounce a side of the car, while flat on a surface, it should only rebound, if you push down, and not bounce, or if does maybe no more than once). You said they where adjustables, can you check settings to make sure all sides are the correct settings? I haven't ever dealt with car shocks that are adjustable on a car (except electronic one's like on a 300ZX), only trucks, like Rancho's, but there might be a dial that you set the comfort level at, if not they might be the one's where you twist them somehow to obtain comfort level. These are all possibilities.