How did they get the wooden beams under the vehicle?
You didn't watch the beginning? The beams were pushed behind the rear bumper and into the soft bed. When the car was pulled it would ride the beams up and out. The cross beam is there to keep the rope from breaking the ice more. The only part they didn't show someone going down and hooking up the rope.
Probably all they needed to get it running was to change the fluids and drain the cylinders.