The leaks through the door problem is caused by an overfilled tub. Remember, these dishwashers aren't bath tubs. Those seals are only designed to keep water from splashing out, not for completely filling the dishwasher with water. These problems are both caused by the slow drain, and can usually be fixed quite easily by removing and cleaning the strainer screen and using a wet/dry shop vacuum to **** out the debris underneath. If your shopvac is powerful enough it will also clean out the water pump.
Replace the screen and try again.