One popular fan fiction could be 'Breaking the Chains'. It delves deep into Jessica's journey of recovery from Kilgrave's abuse. It shows how she slowly rebuilds her life and overcomes the psychological trauma he inflicted. Another one might be 'Beyond Kilgrave's Control' which focuses on the power dynamics and how Jessica finally takes back control of her own narrative.
Fan fiction explores it by delving into Jessica's emotions. For example, it might show her fear and anger towards Kilgrave. It can also show how she copes or fails to cope in different situations.
Good character development is key. For example, exploring Trish's complex relationship with Jessica in new ways. Maybe showing how their friendship evolves over different situations.
Well, in the world of the show, there's no official scene of the characters watching fanfic. But if they did, some might be amused, like Luke Cage could find it an interesting take on their world. Others, like Jessica herself, might be a bit annoyed as she's a very private person and fanfic could distort her image in her mind.
You could also check out Tumblr. There are often fanfic writers who post snippets or links to their full - length works about Jessica Jones and Trish Walker on their blogs. Just use the search function and look for relevant tags.
One great Jessica Jones fanfiction is 'The Redemption of Jessica Jones'. It delves deep into her character, exploring her past traumas and how she might overcome them in new and unexpected ways. The author does an excellent job of capturing Jessica's voice and her no - nonsense attitude.