- Can you sue? It's America you can sue anyone for anything.

- You will have to prove material harm to your business.

- You will also have to prove you tried your best to contact them and mitigate the situation.

- If you agreed to the ToS then without question there's some clause that says "you can't blame us if something goes wrong" which is obviously not going to help your case (this being the single reason you probably won't succeed).

- I think you'd have to prove objectively you did nothing to violate the ToS, you tried in good faith to make them aware of the mistake, and that the mistake is causing material harm to your business.

As others mentioned. Talk to a lawyer.