Deformations of certain reducible Galois representations, II

We examine the deformation theory of two dimensional mod p reducible indecomposable Galois representations, removing or relaxing many of the hypotheses of part I. We are able to prescribe local conditions On our deformations by allowing ramification at a set of prunes congruent to 1 mod p, not 1 mod p(2), and satisfying some other splitting conditions. The new hypotheses admit irreducible ordinary characteristic zero lifts of many mod p representations, which by Skinner-Wiles allows LIS to conclude the modularity of such representations.