I don't have any experience with reporting a claim, so maybe someone here who has experience can offer better advice than just to follow up right away. That's the only thing I can suggest to do.
As far as the review, see if they violated any terms and maybe you can get it removed.
From Air's site:
We believe in free speech, transparency, and clear communication. When creating a review, we ask that you stick to the facts. The best reviews provide constructive information that helps the community make better decisions.
Airbnb's default position is not to censor, edit, or delete reviews. However, we reserve the right to remove reviews that violate our content policy.
We don't allow:
Reviews that do not represent a user’s personal experience .
Reviews unrelated to the actual reservation (ex: political, religious, or social commentary).
Content that endorses or promotes illegal or harmful activity or violence, or is profane, vulgar, obscene, defamatory, threatening, or discriminatory.
Content that violates another person’s or entity’s rights, including intellectual property rights and privacy rights (ex: publishing another person’s full name, address or other identifying information without permission).
Content that is proven to be used as extortion.
Content that refers to an Airbnb investigation.
I would still see if you can get it removed even if you can't find a violation. Did you leave them a review?