At least a month. The first or two week, is the time where your insurance adjustor will come to inspect the car, then send for approval. Fastest also need at least a week.

Repair or total lost is up to your insurance company, you can't decide anyway.

By judging at the pictars, I don't think can claim total lost. Some cars are far worse than this.

Your car roof most likely they will ketuk back into shape.