The strut/rod hanger is fine, but probably this is a good candidate for seismic bracing. These consist of T-bar wires splayed from the attachment point of the box out @ about 45° to the structure above. (notice that I only said probably, it depends on your particular circumstances).
The shaking is due to blade imbalance. You can buy a balancing kit @ Home Depot. It consists of adhesive backed weights, and a set of instructions.