Keep looking at pic 1 - like cimber said, the segments. Tapes have segments but then I do not see consistent segments like found if you google images. I looked at dwarf tapes, the white rice is a sign of tape. The tapers are a positive sign of worm infestation. I believe there are many species that can infest but have yet to be identified.
Of course the bigger question is what kills them and looks like you answered the question. Resource for identification http://pptu.lefora.com/topic/19403254/Comprehensive-List-Education-manuals-amp-Image-Galleries#.U4JJ5satObo