Well, I'm not sure exactly which 'final freakouts high school story' you're referring to. It could be a personal anecdote, a short story, or something else. Maybe it's about the final days of high school where students are freaking out due to exams, college applications, or just the end of an era.
Well, usually they have complex storylines. For example, they might have multiple plot threads running simultaneously. In 'Infinite Jest' by David Foster Wallace (if we consider it in a graphic novel - like sense in terms of complexity), there are numerous sub - plots that all eventually connect in some way.
In a story, complications are the problems or challenges that make the plot more interesting and prevent things from going smoothly for the characters.
We don't have enough information to know exactly who Karen is. She could be an ordinary person, a student, a teacher, or just someone who likes to read stories.
One possibility could be that in the fanfiction, the labor complications might be caused by a magical curse placed on Hermione during her pregnancy. Draco, being by her side, could use his knowledge of dark and light magic to try and counter the effects. He might have to make difficult choices between following traditional pure - blood magic practices and using Hermione's more liberal magic knowledge to save her and their unborn child.
Given only 'dateline karen read story', Karen's identity remains a mystery. She might be a staff member at Dateline who was reading a story for work purposes. Or she could be a person who was interviewed by Dateline and was reading a story during the interview, or she could be an ordinary person whose story - reading experience is being highlighted in relation to Dateline.