I am on my laptop right now. when I go into amenities, I first click on edit (to the left), then the ones I have enabled come up, checked in a box. if you uncheck the box for the items you don't want to have enabled, I think they would then show as crossed out. Did for me.
In your house rules it clearly says no pets, but you are right, better take it off the promised amenities as well. Might be different if you are on desktop, laptop, or tablet. and Airbnb changes their interface all the time... good luck!