Lisa offers some great advise. Let me know if you would like a phone # to a few really good real estate attorney's. None of these people on here have seen the provisions on your lease, and unless they are a licensed attorney they should not be offering legal advise.
I believe a short letter from an attorney would terminate that lease quickly under those provisions you mentioned, let me know if you would like the names and numbers. A few hundred bucks to an attorney is a heck of a lot cheaper than medical costs can be if you needed attention from say a rat bite, a roach crawls in your ear (it happens), etc.