Citing Wikipedia: Paranormal events are phenomena described in popular culture, folk, and other non-scientific bodies of knowledge, whose existence within these contexts is described to lie beyond normal experience or scientific explanation.
I think it's also worth remembering that the "fi" part of "sci-fi" actually stands for "fiction" and not "factual information" :P
"Any sufficiently advanced technology is indistinguishable from magic. - Arthur C. Clarke -"
I’ve only read the first 3 but thats definitely not true. FTL communication, physics-defying space maneuvering, the giant space ring thing controlling the speed of the surrounding armadas...
Even if there are attempts to create some explanation for it, in a hard sci-if story, it’s basically paranormal in all but name.
Paranormal are things that are by definition outside the explainable universe. It's not that we don't have an explanation, it's that they are by their very nature unexplainable.
The proto-molecule isn't paranormal, except for one aspect - the FTL communication. It's basically just a species-generic virus with an embedded AI.