Might there be recourse with the shop who installed my transmission?

What is your question?

There is a warranty on the transmission. But my shift lever is screwed up. When I picked up the car. I drove home shut off the car than tried to start it 10 min. later. There was no power. As if there were battery trouble. There was not. I put the car in neutral and it fired. If the train. was not lined up right wouldn't this screw up the shift/Neutral switch?