Aang could have figured out how Zuko got his scar by encountering someone who witnessed the event and was willing to share the details. Or perhaps Aang saw a vision or dream that gave him the clues he needed to piece it together.
Their relationship could develop through shared experiences related to the scarf. For instance, if the scarf gets damaged in a battle, Zuko might be really upset. Aang could then comfort him and help him repair it. This act of kindness would bring them closer. They might start to trust each other more deeply, sharing secrets they've never told anyone else, like Zuko telling Aang about his childhood memories associated with the scarf.
In some fanfictions, Naruto might get the scar on his eye during a particularly intense battle with a powerful enemy. Maybe it was a close encounter with a rogue ninja's weapon that managed to leave a mark on his eye area.
Maybe Zuko has his own goals that don't involve chasing Aang. He could be more focused on redeeming himself in other ways, like helping the Fire Nation people or learning about different cultures without the need to pursue Aang.
In many fanfictions, their bond develops through shared adventures. They start to understand each other's pasts and the burdens they carry. For example, Aang realizes Zuko's struggle with his family and his journey to redemption. Zuko, in turn, comes to appreciate Aang's role as the Avatar and his kind heart. They often team up against common enemies, which deepens their friendship as they learn to trust and rely on one another.
Todoroki got his scar because of his father's cruel actions. His father, Endeavor, deliberately caused the scar to try and shape his son's powers.
If Aang and Zuko were brothers, it could change the Avatar World by creating a new era of peace. Their combined influence could lead to better relations between the Fire Nation and the other nations. For instance, Zuko's connection to the Fire Nation's royalty and Aang's role as the Avatar would mean they could work together to rewrite treaties and promote equality.
There is some. Some of them might explore their relationship in the context of the Avatar universe's adventures, while others could be more about their personal growth and how their relationship develops over time. It really depends on what kind of story you're interested in.
One great 'Aang and Katara and Zuko' fanfiction is 'The Fire and Water Alliance'. It delves into how they work together to rebuild the world after the war. Their different abilities and personalities create interesting dynamics.
One common theme is friendship. Since they start off as enemies, many fanfictions focus on how they build a strong bond of friendship. Another is redemption. Zuko's journey of redemption is often explored further in relation to Aang.
I'm not sure specifically as there could be many different stories within that fanfiction. It might be about Zuko and Aang's relationship, perhaps in an alternate universe or a situation not shown in the original series. It could explore their friendship, their adventures together, or even some creative scenarios that fans have come up with.