Well, a rodent, is a rat, hamster, or gerbil, anything like that. A Giant Armadillo, is a mammal, unlike a rodent. :)
Giant Capybara
The cast of Mahahula the Giant Rodent of Happiness - 2011 includes: Stan Robinowitz
The were scaring the townspeople and killing the cats and fighting the dogs.
No
The scientific or taxonomic name would be Cricetomys emini.
Junin red squirrel is a species of rodent in Peru. Javanese flying squirrel is a species of rodent in Indonesia, Malaysia, and Singapore. Japanese giant flying is a species of flying squirrel in Japan.
If you have a really bad rodent problem, and it sounds bad if your cats are overwhelmed, I think the best solution would be a professional exterminator such as Terminix. These businesses are available all over the country, are relatively inexpensive, and will make sure your problem is taken care of for you.
You can, so long as you can document that there is in fact a serious rodent problem (and by serious, you fear for your health or safety) and that you've notified the landlord and given him a chance to fix the problem. Once you've satisfied that (and you can do that in a couple days), you can break the lease. The landlord may sue you for breach of the lease, but you'd have a pretty good case, so long as it's atrue rodent problem and not a mouse here or there.
Maybe not sue but you can take it to the Renters association.
Yes, locusts are not a common pest problem in Florida.
no a horse is not a rodent