I think reincarnation makes a lot more sense than heaven and hell. I'd prefer to reincarnate I think , than go to heaven. If you think of it , reincarnation is sort of a scientific fact , in that all matter is "recycled" over and over again. Once , all of my cells were part of a star . One day they may be part of the ocean , or part of a bird. Ther eis no consciousness or anything spiritual about this though . its just nature. 

As for traditional reincarnation , I don't remember any past lives.