  In~this paper, we construct noncommutative coherent states using various
families of unitary irreducible representations (UIRs) of $\g$, a connected,
simply connected nilpotent Lie group, that was identified as the kinematical
symmetry group of noncommutative quantum mechanics for a system of 2-degrees of
freedom in an earlier paper. Likewise described are the degenerate
noncommutative coherent states arising from the degenerate UIRs of $\g$.
We~then compute the reproducing kernels associated with both these families of
coherent states and study Berezin-Toeplitz quantization of the observables on
the underlying 4-dimensional phase space, analyzing in particular the
semi-classical asymptotics for both these cases.
