@Roxolana0 I never quite understand when hosts say they don't know how to approach such a situation. You don't want to come across as being harsh or rude, but this guest is being totally rude, disrespectful of you and the other tenants, and on top of it all, either lying about it, or is completely delusional.
Just be straightforward- "XX- you will need to wash all of your dishes and pots and pans after a meal, as well as clear the table after you eat. If you cannot show basic respect to me and the other guests here, I'm sorry to say that the rest of your booking will have to terminated.."
You're worried about his review? How about 5 bad reviews from the other guests who are having to live with this?
There is no way I would put up with this guest until August. I would boot them out ASAP.
I'm sorry if I'm not being gentle here, I realize you're new to this, but if you let a guest walk all over you and jeopardize your situation with your other guests, then trying to rent out 6 rooms to unrelated people isn't going to go well for you.
Achieving Superhost, first of all, isn't something to stress about, it's really not that important, and it's about handling things in a no-nonsense, professional manner, not about tiptoeing around bad guests to avoid bad reviews.