Of course you have to pay rent, if you don't want to be evicted. If you have reported the rat problem, then you have to give him reasonable time to fix the problem. If he has tried and the rats are still there, then tell him that the rats are still there. Work WITH him, not against him. Working against him will only get you evicted.
Certified Paralegal, with 25+ years' experience & with Landlord & Tenant law experience.