Quantum,
I don't think that last halogenation step would actually work. Starting with Butane, I would either add Br2 and UV light or NBS and heat. Then a big sterically hindered base to get almost all ( if not all of) the E2 Product and also the Hoffman product. Then from the Hoffman product add Br2, h20 and then A strong oxidizing agent like chromic acid to turn that secondary alcohol into the ketone. The final product would be your 1,-bromo-2,-butanone