  In the first part of the present series of papers, we studied the moduli
spaces of holomorphic discs and strips into an open symplectic manifold,
isomorphic to the complement of a smooth divisor in a closed symplectic
manifold. In particular, we introduced a compactification of this moduli space,
which is called the RGW compactification. The goal of this paper is to show
that the RGW compactifications admit Kuranishi structures. This result provides
the crucial ingredient for the main construction of this series of papers:
Floer homology for monotone Lagrangians in a smooth divisor complement.
