  In this paper, we introduce the representation theory of $\delta$-Hom-Jordan
Lie conformal superalgebras and discuss the cases of adjoint representations.
Furthermore, we develop the cohomology theory of Hom-Lie conformal
superalgebras and discuss some applications to the study of deformations of
regular $\delta$-Hom-Jordan Lie conformal superalgebras. Finally, we introduce
derivations of multiplicative $\delta$-Hom-Jordan Lie conformal superalgebras
and study their properties.
