For a rational homology 3-sphere Y with a Spin c structure s, we show that simple algebraic manipulations of our construction of equivariant Seiberg-Witten Floer homology in lead to a collection of variants, which are all topological invariants. We establish a long exact sequence relating them and we show that they satisfy a duality under orientation reversal. We explain their relation to the equivariant Seiberg-Witten Floer (co)homologies introduced in [loc. cit.]. We conjecture the equivalence of these versions of equivariant Seiberg-Witten Floer homology with the Heegaard-Floer invariants introduced by Ozsváth and Szabó.