I would say personally that depending on the extra weight you added (which is likely not much) then you should think about upgrading your shocks. The extra weight that you might add with a different live rear axle is unsprung, and hence, has very little bearing on the action of the springs (except in some small cases). It does add some weight to the rear of the car, which may effect the loading of the tyres a little, but unlikely to be enough to require the spring rate to be adjusted.
However, the extra momentum created by more vibrating mass may require more damping and hence different shocks.
Whenever you add more unsprung mass to a car, it *will* generally lessen the cars handling, no matter how many compromises you make.
As said though - the standard springs should be alright, but the dampers may need attention.