  We present measurements of branching fractions and charge asymmetries for the
decays etaK*, where K* indicates a spin 0, 1, or 2 Kpi system. The data sample
corresponds to 344x10^6 BBbar pairs collected with the BABAR detector at the
PEP-II asymmetric-energy e+e- collider at SLAC. We measure the branching
fractions (in units of 10^-6): BR(B0->etaK*0)=16.5\pm1.1\pm0.8,
BR(B+->etaK*+)=18.9\pm1.8\pm1.3, BR(B0->eta(Kpi)_0*0)=11.0\pm1.6\pm1.5,
BR(B+->eta(Kpi)_0*+)=18.2\pm2.6\pm 2.6, BR(B0->etaK_2*0(1430))=9.6\pm1.8\pm1.1,
and BR(B+->etaK_2*+(1430))=9.1\pm2.7\pm 1.4. We also determine the charge
asymmetries for all decay modes.
