Y'all probably won't believe this -- seeing as how "fleshly" I am -- but

(1) Yes. Heaven or Hell. and

(2) I think animals will definitely be a part of the New Earth (in Eternity Future). "Heaven" won't be our ultimate final home, if you believe the Bible: the New Earth will be. And there are plenty of references in the Good Book that speak of animals in the new earthly kingdom (e.g., "the lion shall lay down with the lamb," "the beast from the wild shall be led by a child," etc.). Now, on the issues of whether or not our dead pets and the like will be there, the Bible is silent.