1993 Subaru Legacy Dead Car?

My daughter drives this car to school each day, last week she parked the car in the lot and when she started it to leave it went in Reverse sputtered and died. Moved about 2 feet. She put the car back in Park and it does nothing except the door indicator light comes on the dash and the beep.
No lights, does not hit the starter nothing. I have changed the battery, and put new ends on the cables. Tested power to the starter and there is power on the positive terminal of hte starter. I moved the automatic shifter back and forth still nothing. Note there is a alarm key under the dash I believe it came with the car. Never beeen a problem in the past.