  We consider a model of dark photon which appears as a result of the
successive symmetry breaking SU(2)$\,\to\,$U(1)$\,\to \mathbb{Z}_2$, where
various types of topological defects appear in the dark sector. In this paper,
we study the interactions between QED charges and the dark topological defects
through mixing between QED photon and dark photon. In particular, we extend our
previous analysis by incorporating the magnetic mixing and $\theta$-terms. We
also consider the dyons and dyonic beads in the dark sector. Notably, dark
magnetic/dyonic beads are found to induce a QED Coulomb potential through the
magnetic mixing despite finite mass of the dark photon.
