  This is a continuation of the paper "Restriction theorem for Fourier-Dunkl
transform I: Cone surface, J. Pseudo-Differ. Oper. Appl. 14(1), Paper No. 5
(2023)", where the authors introduced and studied the Fourier-Dunkl transform
on $\mathbb{R}^{n}\times\mathbb{R}^{d}$. The main novelty of this paper is that
we here prove Strichartz's restriction theorem for the Fourier-Dunkl transform
for certain surfaces, namely, paraboloid, sphere, and hyperboloid and its
generalisation to the family of orthonormal functions. Finally, as an
application of these restriction theorems, we establish versions of Strichartz
estimates for orthonormal families of initial data associated with
Schr\"odinger's propagator in the case of the Dunkl Laplacian and Klein-Gordon
operator.
