You are in a bit of a pickle. Those ball valves are notorious for seizing. Once the handle break, you are better off replacing the valves than trying to man-handle them...it will likely just do more damage.
They should be replaced with diverter valves. They are rebuildable.
View attachment 613260
I would recommend that you purchase a sump pump and use it to lower the water level for now. We generally don't recommend you use your pool pump to lower the water level. Not worth damaging the pool pump. A 1/3-1/2 hp sump pump would work just fine.