The fact that they did not ask you to pay for the damage is the biggest evidence that they admit they did it.
And unless they can prove that you have funny history of getting into this kind of accident and ask people for money, they will have very hard time explaining to the court that why would you (after supposedly hitting them), asking them for the money. And funny enough, they provide their insurance detail and offer to pay you $750.00. Their words will not hold up at all in small claims court. You will concrete your win by getting some of these on tape.
All the best!