Lucifer and Satan were not the same person. Although Lucifer was called the Morning Star, it did not explicitly indicate that he was Satan. Satan was the name of the ancient snake, and Lucifer was an independent existence. Therefore, Lucifer Morgenstern was not Satan.
I don't have enough information to know exactly who Jocelyn Shaker is in this context. She could be an ordinary person whose real - life story is being told.
I'm not sure. The truthfulness of Jocelyn Shaker's story depends on various factors. It could be partly true and partly embellished to make it more engaging.
It's not a true story. Usually, such tales are either created by authors' imaginations or based on loosely inspired elements rather than real events. In this case, the abduction of Jocelyn Shaker seems to fall into the fictional category.
One common theme is self - discovery. Since Clary has a complex character, many fanfics explore how she further discovers herself. Another theme is love and relationships, whether it's her relationship with Jace or other characters in the story.
I'm not sure specifically which 'Black Breeding Jocelyn Story' you are referring to. There could be many fictional or even personal stories with this name. It could be a story about a character named Jocelyn in a black breeding program in a fictional world, but without more context, it's hard to say exactly.