  A single paraxial beam reflection at a plane dielectric interface, configured
appropriately, can lead to the formation of a polarization singularity in the
inhomogeneously polarized output beam-field for any central angle of incidence.
In this paper we derive the necessary condition to realize this effect. We
explore the phase singularity characteristics associated to this
polarization-singular field; and explore the dynamics of the singularities due
to controlled variations of the input polarization. The simulation-generated
exact field information lead to the exploration of the unique Goos-H\"anchen,
Imbert-Fedorov and spin shifts of the optical-singular fields and the
anticipation of an exact mathematical characterization of spin-orbit
interaction phenomena involved therein. The formation of a phase singularity
independent of a polarization singularity is explained subsequently.
Interrelating these seemingly unconnected beam-field phenomena and generic
optical singularities can lead to a significant and fundamental understanding
of the inhomogeneously polarized beam-field; and additionally, our singularity
generation method can find potential application in experimental
characterization of the involved dielectric media.
