@Angel4698 The "deposit" is unfortunately irrelevant here, because unless you have a special kind of property-manager account, Airbnb doesn't actually charge or hold the deposit when the guest books. It's outrageous that they don't inform hosts of this.
As far as your damage claim is concerned, I think for best results you'll want to keep it as simple as possible - specifically, the repair cost for unequivocal physical damage, along with whatever additional evidence they've asked for. Most hosts who have sought compensation for smoke odor removal have been disappointed by the results, and whether the smoke in question was a legal or illegal substance in your state does not really make a difference here.
It sounds like there's a lot more to the story - especially considering that the guest climbed over the gate - so perhaps a police report is indeed necessary. But that seems unlikely to bolster a claim for the type of actual damage you describe, so it's probably best to leave that as a separate issue.
