  We study the Faddeev-Jackiw symplectic Hamiltonian reduction for
3+1-dimensional free and Abelian gauged Rarita-Schwinger theories that comprise
Grassmannian fermionic fields. We obtain the relevant fundamental brackets and
find that they are in convenient forms for quantization. The brackets are
independent of whether the theories contain mass or gauge fields, and the
structure of constraints and symplectic potentials largely determine
characteristic behaviors of the theories. We also note that, in contrast to the
free massive theory, the Dirac field equations for free massless
Rarita-Schwinger theory cannot be obtained in a covariant way.
