  We consider the ground states, excitations and dynamics of a
quasi-two-dimensional binary dipolar Bose-Einstein condensate. Our focus is on
the transition to a spin-stripe ground state in which the translational
invariance is spontaneously broken by a striped immiscible pattern of the
alternating components. We develop a ground state phase diagram showing the
parameter regime where the spin-stripe state occurs. Using Bogoliubov theory we
calculate the excitation spectrum and structure factors. We identify a balanced
regime where the system has a $\mathbb{Z}_2$ symmetry, and in the spin-stripe
state this yields a nonsymmorphic symmetry. We consider the evolution of the
system following a quench from the uniform to spin-stripe state, revealing
novel ordering dynamics involving defects of the stripe order. Using an order
parameter to characterize the orientational order of the stripes, we show that
the phase ordering exhibits dynamic scaling.
