Romans 6:7 would imply that there is no distinction in sins, or in those who commit them, when upon death the penalty for sin is paid, whether by Christian or not.
A lot of the confusion surrounding this devolves from the pagan Greek definition of soul, one has a soul, and the Biblical definition of soul, one is a soul. Sort of like dog. One may have a dog or be a dog.
The state of the dead is pretty plain as well, Ecc 9:5 For the living know that they will die, but the dead know nothing, and they have no more reward, for the memory of them is forgotten.
That puts going to heaven out of reach, but leads into the doctrine of resurrection, which Paul suffered abuse in Athens over. He hadn’t heard of DNA and Russian mammoths as a defense, but you can put 2+2 together for a modicum of understanding for physical resurrection to come. That also leaves heaven out of reach, btw.
Don’t even get me started on Sheol, or hell, the “hidden place.” I may wind up chapping some orthodox ass. Suffice the dead are dead, and can’t be ghosts or zombies,