You are responsible for the towing and fees. You should have a yet go over their charges with a fine tooth comb. Usually there’s an error or improper charge included that you can use to negotiate the amount down.
As the registered owner of the vehicle, you are responsible for the towing and storage fees less the proceeds from the vehicle sale/auction. You should consult with an experienced bankruptcy attorney regarding your overall financial circumstances and the pros and cons of settlement versus other options.
The towing company is allowed to sell a vehicle that is towed and not picked up by the owner. They sell them to cover the storage fees - which they are allowed to do. If they sue you for the fees, you need to resolve it or they can get a judgment against you. You can choose to do nothing right now, or try to offer a settlement, i.e., offer them something less than the amount of their claim. If you do nothing for now - watch out for someone trying to serve you with a lawsuit - don't ignore the lawsuit. And the amount due is going to increase as the company is likely charging interest on the balance due.