After thinking about it, I guess it's possible that this was a single-car accident and that OP only has liability. In that case, I suppose there really isn't much of an insurance situation to deal with.EDIT: Overpost - and yah Caddy- we're thinking the same on that towing it right away = not so good idea on several fronts.
Oh ****... I totally missed the picture where you can clearly see another damaged vehicle. My bad.But, the scene and damage appear likely multi-car.