  In this paper we continue and improve the analysis of the effective actions
obtained by integrating out a scalar and a fermion field coupled to external
symmetric sources, started in the previous paper. The first subject we study is
the geometrization of the results obtained there, that is we express them in
terms of covariant Jacobi tensors. The second subject concerns the treatment of
tadpoles and seagull terms in order to implement off-shell covariance in the
initial model. The last and by far largest part of the paper is a repository of
results concerning all two point correlators (including mixed ones) of
symmetric currents of any spin up to 5 and in any dimensions between 3 and 6.
In the massless case we also provide formulas for any spin in any dimension.
