Daniel Battsek has big shoes to fill as the new chief of Miramax. “Plucked last fall from Disney’s international film ranks in London, Battsek suddenly finds himself a major player in the competitive world of specialty films. The 47-year-old executive is under the gun to quickly reestablish Miramax as the kind of dominant force it was when the Weinsteins released such acclaimed hits as “Shakespeare in Love” and “The English Patient” in the late 1990s. It won’t be easy.”