I can't comment on your specific materials, since I don't use composites in ANSYS, I use them in NASTRAN. I can comment on how to see the residual stress when using a Plasticity material model. The method is to apply a Force in step 1, then set the Force to 0 in step 2. As the force ramps off in step 2, the material at the core that is still elastic pulls back against the material at the surface that experienced plastic stretching, until an equilibrium is found. At this equilibrium, there is some permanent deformation and some residual stress. The material at the surface that was plastically stretched in tension ends up in compression while the central core ends up with some tension to create the equilibrium.
You need to study how damage is accumulated in composites and whether damage will result in residual stress. Perhaps someone who knows will answer.