  We make a few elementary observations that relate directly the items
mentioned in the title. In particular, we note that when one superimposes the
random current model related to the Ising model with an independent Bernoulli
percolation model with well-chosen weights, one obtains exactly the
FK-percolation (or random cluster model) associated with the Ising model. We
also point out that this relation can be interpreted via loop-soups, combining
the description of the sign of a Gaussian Free Field on a discrete graph
knowing its square (and the relation of this question with the FK-Ising model)
with the loop-soup interpretation of the random current model.
