  Our two principle goals are generalizations of the commutant lifting theorem
and the Nevanlinna-Pick interpolation theorem to the context of Hardy algebras
built from $W^*$-correspondences endowed with a sequence of weights. These
theorems generalize theorems of Muhly and Solel from 1998 and 2004,
respectively, which were proved in settings without weights. Of special
interest is the fact that commutant lifting in our setting is a consequence of
Parrott's Lemma; it is inspired by work of Arias.
