When you said money plant, I thought you were referring to Pilea peperomioides but you have a Jade plant, Crassula ovata.
You can start new plants from the two good shoots you have left. Cut them off the plant and let them sit out of soil until the cuts callous over (a couple days). Then plant them in cactus soil. A shallow pot is best - the soil needs to dry quickly to keep your plant happy.
Why does it get water-logged over winter? Does it sit outside? Can you put it someplace where it won't sit in water all winter?
If this is an outside plant, can you fill in your location information? It will help us give you better answers.
One thing your plant is in desperate need of is more light.