Since Rigby is sick, his family members could also be main characters in the fanfiction. They might come to visit him and bring their own unique family drama to the story. And his friends from the park, like Muscle Man and High Five Ghost, could also be involved, trying to cheer him up while he's ill.
Invincibility from 100 Million Punches was a game/game novel written by Crazy Knife-throwing. The protagonist in the novel became stronger by practicing punching. This novel contained elements such as transmigration, invincibility, game world, leveling up, and training. The novel was finished, and the readers could enjoy reading it without worry. The specific plot and chapter content required reading the full text of the novel.
Small time skips in novels can serve several functions. For one, they can create a sense of passage of time without having to describe every single moment in between. This helps to move the plot forward more quickly. For example, if a character is starting a long journey, a small time skip can take the reader to the end of the journey without detailing all the days of travel. Another function is to build suspense. By skipping a short period, the author can leave the reader wondering what has happened during that time.
It depends on the genre and the audience. In some literary fiction, readers might be more accepting of complex time - related structures, including lots of time skips. But for younger audiences or in more straightforward genres like some action - adventure stories for kids, too many time skips could be a problem as they may have a harder time following the story.
You can do it by clearly marking the time jump and explaining the changes that happened during that period. Make it smooth and not too jarring for the readers.