@Angela3096
There are 3 elements here to deal with :
1. Guests who violate houserules, creating nuisance and also there was a party going on (?)
2. You offered a refund (how much ?) to mak them leave
3. There is damage found after the guest(s) left.
Regaring nr 1: you could have contacted Airbnb and ask them to cancel the reservation (penalty free).
Or shorten the reservation via "change" option.
Regarding nr 2: It is not recommended to make "refund promises", better close the case immediatelly by cancellation or shortening.
Regarding nr 3: It is a separate issue and you can claim costs for material damages in the useal way