One great 'Chicago Justice Peter Stone Fanfiction' is 'Stone's Redemption'. It delves deep into his character, exploring his internal struggles. Another good one could be 'Peter Stone: A New Path' which takes his story in a new and interesting direction, perhaps different from what we saw in the show. And 'In the Shadow of Stone' is also a popular choice as it focuses on his relationships with other characters in a unique way.
No, it is not appropriate. Fanfiction should generally adhere to ethical and moral standards, and writing about sexual content in relation to a show in this way is not acceptable. It can also be considered a form of inappropriate and disrespectful use of the original work.
The Chicago Fire started on October 8, 1871. It was said to have begun in a barn. The fire spread rapidly due to strong winds. Many buildings were made of wood at that time, which fueled the fire. It burned for about two days and destroyed a large part of the city.
One possible scenario in such a fanfiction could be that Dawson gets hurt during a rescue operation. Maybe she is trapped under some debris while trying to save a victim in a burning building. Her fellow firefighters then have to race against time to get her out safely.