Get estimates and receipts for fixing the faucet, all dated before the next guest checks in. Contact the guest on the Airbnb app with this estimate and attempt to have it charged against the security deposit (which really isn’t a real security deposit, but that’s another subject). If the guest refuses (which he/she probably will), report it to Airbnb and provide the invoices and estimates also before the next guest checks in. If you have before/after pictures of the faucet that would be helpful also.
As far as the extra guests, do you have spelled out in your description and your House Rules any fees for bringing extra guests? Do you have video of the extra guests coming in? If you have specific fees for extra guests, tell the guests how much they owe you in fees. If they refuse (which they probably will), you can probably work with Airbnb to get refunded.
As you can see, this isn’t an easy process, but all the steps above have to be done, in the right order and with the right timing, in order to get help from Airbnb.