Obviously, Dexter's mom would be one of the main characters. There might also be other characters from the Dexter series who interact with her, like Dexter himself or perhaps some of the people she knew in her life in the show.
Well, without having read it in detail, it might contain things like Dexter's mom having some sort of adventure. It could be that she discovers a new talent or meets an old acquaintance. It could also explore her backstory more deeply, perhaps revealing secrets about her past that were not fully explored in the original Dexter series.
Well, it could be normal in the context of personal preference. If the mom is in a private and safe sleeping environment, sleeping naked might be her choice for maximum comfort. But it's also important to note that in a family setting, especially if there are children around, appropriate boundaries should be considered.
Privacy should be the top consideration. If there are other family members, especially children, appropriate measures need to be taken to ensure they don't accidentally see something inappropriate.
Well, 'core Dexters Lab fanfic' could be centered around the core elements of the show. For example, it could be about Dexter's scientific experiments going haywire in a completely new and unexpected manner. It might also deal with the rivalry between Dexter and other kid - geniuses in the fanfic's universe, or it could be a story that delves deeper into Dexter's motivation for creating all those amazing gadgets in his lab.
No, it is completely unethical. Watching someone sleep naked without their consent, especially a mother figure, is a serious invasion of privacy and violates basic moral and ethical boundaries.