I am very happy to read this story as the first part is one of my my favorites. And the beginning seems promising.
Yet, I can't fully understand why Lois goes back to *live* with Luthor *after* having an affair with Clark, realizing that she loves him and deciding to divorce him. Normally, I would say that this is dishonest towards her husband but Luthor of course is dishonest himself. In this case, it's wrong towards Clark.
Can't she really realize what he must think and doubt? She has made a promise to him and she has duties towars him.
Of course, you make good work by reminding us of her father but for heaven's sake, this is a completely different matter: she doesn't have children.
So why not meet him once, tell him - and move to the hotel?