Why my car won't shift into gear and move?

You said you were stuck in the snow. Did you push on the accelerator spinning the tires for a long time? Then you could have heated the transmission to the point of failure. Transmissions don't like heat. Have the car towed to an auto garage. I suspect you will need your transmission rebuilt and or replaced.

While the car was lifted the front passenger wheel moves but the drivers side front wheel doesn't move

You have to step down hard on the breaks to put it in gear and if that don’t work check your break fluid cause if you’re break fluid is down that can be why it won’t go in gear