Should I pay for the property damaged by the car?

Don't worry, since you have reported to the police station, they will give you a certificate or receipt for reporting or filing a case, which will indicate that it has been damaged as you said. Take this to the hotel. All have public liability insurance, and the police station proves that it has legal effect and is very clear. If the police station does not give proof, you can also pay for it if your car has a glass insurance company.