A leaky bladder in the tank will not allow the pump to run all the time. A leaky faucet and a bad bladder tank can cause your pump to cycle on and off enough to cause a high electric bill. It really sounds like you have a hole in the drop pipe down in the well. This will cause the pump to run all the time, use a lot more electricity, and can then cause many other problems. It needs to be fixed as soon as possible.