Deformation of character

I was accused of something I did not do,more especially the accusation involves alcohol and I don't drink nor tough alcohol,this was reported to me a month after I checked out from the hotel,I requested footage it was not provided, management addressed me in a harsh way,I tried to solve the problem by going to the hotel,I dropped everything expenses were incurred during the process then the manager or the owner said no one forced me to come as I wanted to claim my expenses travelling to the hotel.im not happy at all as this affected me and what about my reputation as the same message was send to a minor that I know,so I'm not sure if was sent to her only.this has affect my performance at work as I can't stand to be accused of something I didn't do without proof.