The inspector wanting a lead paint compliance from them, that's between the landlord and the city - none of your business. You won't be notified about it. Yes, the landlord can evict you for overstepping the grand kids' visits. Landlords have a right to their own policy regarding visitors, who, how long, how often and whether stays can be overnight. Either you limit the visits to what he says or expect to be evicted. Btw, daily is insane. Most landlords would never allow that. They would consider the grand kids living there when they are there every day.
Certified Paralegal, with 25+ years' experience & with Landlord & Tenant law experience.