That Caswell kit plates with cobalt to mimic chrome so there may be some color differences. I'm not sure about being able to plate directly over chrome. Typically you would have to first strip the chrome down to the nickel or copper base and then replate. Certainly check with the manufacturer before you invest the money. There is no magic bullet when it comes to deteriorated chrome other than viewing distance.
I've been experimenting with nickel plating to restore old sewing machines. Preliminary test pieces came out very well and I'm looking forward to doing some "real" parts. The one thing that is essential is that the parts have to be polished very well in order for the finished product to look well. Any pitting or sanding marks will be magnified by the plating.
Good luck. If you buy the kit, please post your experience using it.