Sorry to hear about this experience, Louise.
But first I must say this [which I repeat often, and for many coming here] air bnb didn’t tell me until the morning after that I could have evicted the guests, [OP] THIS IS YOUR HOUSE, room, flat, property etc; final decision is always yours/ OURS. I fully realise is not easy [for few or many] finances, kids school to pay, mortgages etc and lately I read a pensioner [lady in USA] saying 'this was her only INCOME'
...but 'over-reliance' on Aibrnb rules, insurance, support etc; has lead to many Q's like yours and higher in priority, even DANGER. We have had people with threatening guests and 'we get carried away' telling them: 'do you have a male friend of cousin, call AIBRNB right away and so ...while the absurdity of our replies confuses people even more [who should know better] when there are only two answers: DO YOU HAVE A GUN, get it ready [countries where is allowed] and CALL the Cops/ run away fast if you can....[anyhow, rant over]
And in the end...'you will be packing this in soon' and it will be same results: AS IF YOU GAVE THEM THE BOOT, at 1st step.
Now,
1. Guest was abusive - here is where you evict, or ask him/her to leave. Document everything [all comms via Aibrnb] and tell AIBRNB right away.... . You did not open the home to HOST THUGS, but normal guests; treat him like you would anyone 'threatening you'
2. Guest broke House Rules, he should not have entered any area that you do NOT GIVE permission.
3. Guest committed Fraud [towards you, and AIRBNB] he booked for 5, brings 7 people.
4. Remind them on the phone, stress it in BOLD during messages; it is exactly people like THIS; who bring more GUESTS [overcrowding etc] who most likely make AIBRNB get with involved Criminal Law; health/safety, parties with drugs, injuries and even worse.
Parenthesis; now Aibrnb is a Public Company, not everyone knows at this early level they are more concerned about Growth than Finances per se; post-pandemic they are doing all they can; but so is the backlash growing, in several countries/ states, areas etc; and last thing Airbnb needs is 'potential criminal issues' Hosts in danger + aggressive guests [like ones you had] that should be banned ON THE SPOT.
5. Tell them one last time, you will take AIBRNB to Small Claims court [apply online, they most likely wont show up, and get a well deserved £5,000 for damage and troubles you been through] but will gave them one more chance to rectify THEIR MISTAKE.
To conclude
1. AIBRNB in fairness, writes this down in several places but I WISH and we must make sure, is NAILED somewhere high up that each new Host know; his/ her HEALTH/ SAFETY, trumps everything. FORGET aibrnb.
2. When guests become abusive/ aggressive and dangerous; think of Self/ Family and Local area first, call THE POLICE; an Aibrnb call-centre person [call him Ambassador or Rapid Intervention team] can not do much with best of intentions, being 15 countries away and via a phone call!
3. Whatever Aibrnb SAYS to us, and we to them, or sign down; is completely irrelevant in regards with Laws of Sovereign Nations; that remain supreme for each and every person Here and Out THERE.
I genuinely do not think you should leave, bad episodes are not that common but what makes it worse [to all] is Aibrnb delays, stonewalling, automated process, and sometimes IGNORING US. I do also BELIEVE, that while 'all should be treated the same way' NOT ALL PEOPLE ARE THE SAME; so AIBRNB needs to have some prioritising in THIS SORT OF SITUATION and make some new classifications; disabled, single mothers or single girls/ women, >75 yrs hosts and so on... a SORT of 'PANIC button' so their case will be Solved even faster,
But it seems of lately THEY DO NOT HEAR/ READ US.