  Motivated by the recent discovery of superconductivity in Na$_x$CoO$_2\cdot
y$H$_2$O, we use series expansion methods and cluster mean-field theory to
study spontaneous charge order, Neel order, ferromagnetic order, dimer order
and phase-separation in the triangular-lattice t-J-V model at 2/3 electron
density. We find that for t<0, the charge ordered state, with electrons
preferentially occupying a honeycomb lattice, is very robust. Quite
surprisingly, hopping to the third sublattice can even enhance Neel order. At
large negative t and small V, the Nagaoka ferromagnetic state is obtained. For
large positive t, charge and Neel order vanish below a critical V, giving rise
to an itinerant antiferromagnetically correlated state.
