Hi @Elizabeth1852
Sorry to hear this was your first guest experience. Do be assured that bad guests are very rare and there is lots you can do to minimise the risk of ending up with one both by vetting your guests and taking a proactive approach to managing guests who break your house rules. These guests sound truly horrible and disrespectful.
If you are using IB turn it off now so you can vet your guests before accepting a booking.
Hopefully you have made a report to the police about the stolen items. I am sorry that you didn't collect videos and photos of the damage.
I am a little confused as to why you let them bring a pet and extra person without calling them out on it. You had the option to ask that the dog and extra guest leave immediately or to raise a request through the resolution centre for the extra payment for the dog and guest.
Similarly for the extra night. If they didn't pay before the original check out you shouldn't have let them stay.
Have a look at Airbnb Help for information on claiming under their guarantee. https://www.airbnb.co.uk/guarantee
Why would you turn your camera off? I presume you had it displayed in your listing in accordance with Airbnb t&cS for outdoor cameras.