The dog in the background isn't dead. If you'll notice, now and then it will twitch or lift it's head. That is Lady.
Also in the first video the girl in pink is T. Ty's favorite Aunt. You'll also see Freckles(a dog.) and Rosie (also a dog.) and RC (Yet another dog) Which are not anywhere near all the puppies running around out here.
Oh and sometimes we actually have grass, but we haven't had rain in quite a while.