Good ideas!

I had never heard of a "flip-flop winch" before. Brilliant! Though it looks like a two-person operation to me.

1) Vehicle Recovery:

I agree with Chaos -- jack up the vehicle. Try to build a platform under the wheels. Break up the "chock" behind each wheel.

Unfortunately, even with a good shovel or a pickaxe, frozen soil is really difficult to chop through. A beater hatchet or ripping hammer can work well. I suppose the tire iron could be used as a crude chisel. It would take a lot of force and patience. Watch out for the sidewall of the tire!

I'll bet the vehicle has all-season tires (which really means three-season; bloody awful in winter). One trick is to drop the tire pressure to increase flexibility and traction.

2) Staying Warm:

I see a lot of dry grass ready to be harvested. Excellent insulation! Stuff it between layers of clothing (it's scratchy). Pile it in the vehicle. It's messy, but at this point who cares? You can detail it later.

3) Water and Fire:

Dehydration is insidious in the cold: you don't feel thirsty but it messes with your reasoning and your body's ability to stay warm and metabolize fats (most of us have a small surplus).

There is a lot of standing dead spruce in the background. The vehicle offers options for starting a fire. I guess it's possible to melt snow indirectly in a glass or plastic drink container, but far from ideal.