Sounds like your water entry problem is most likely a water entry solenoid.
As for draining out water try this...
Get a couple of gallons of water and manually place it in the bottom of the dishwasher. Hit start and see if this drains the water. If it does not, see if this water at least is able to be pumped around inside by waiting for the wash cycle to begin. That tells you that the wash pump is OK. Next hit the cancel button and see if it drains on that command. If the water placed in the dishwasher still remains there without draining that is probably a timer control board if this is part of the water entry problem as well.
Having two separate issues .....
water in and water out not functioning suggests a control board issue. Hope it's not the board. They are expensive.