  In this paper we continue the study (initiated in arXiv:2003.13584) of the
semiclassical behavior of the scattering data of a non-self-adjoint Dirac
operator with a real, positive, fairly smooth but not necessarily analytic
potential decaying at infinity; in this paper we allow this potential to have
several local maxima and minima. We provide the rigorous semiclassical analysis
of the Bohr-Sommerfeld condition for the location of the eigenvalues, the
norming constants, and the reflection coefficient.
