There are actually two questions in this post. This is the first (as in the headline): 'AITA for keep in the house children and teenagers until the police arrive and charge them?' The second is about making them pay her back for the cost of the damage.
I have a house with a pool that I rent on weekends or throw parties. The kitchen and swimming pool are on outside. Friday, I went to the market to buy drinks, meats and various things, because Sunday there would be a party in this house. So the fridge had a lot of things.
On Saturday, my brother called me asking if I had rented the house this Saturday for someone and when I said no, he informed me that he passed by and heard very loud music in it in addition to several voices.
I asked him to meet me there and I went with my husband. There were about 20 people enjoying the pool, drinking and having a barbecue with my stuff. Apparently they used a ladder to jump over the wall.