I'm not sure which specific 'Yuri and Makarov' you are referring to. There could be many characters with these names in different stories. If they are from a game like Call of Duty, Makarov is a very cruel and violent antagonist. Yuri was once his comrade but later turned against him due to Makarov's extreme actions. Yuri finally sacrificed himself to stop Makarov.
Yes, there are some out there. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Some fanfictions might explore unique storylines where Naruto is related to Makarov in this fictional scenario, like Naruto having some of Makarov's magic abilities transferred to him in a cross - over world. However, the quality can vary greatly, so you might need to read a few to find the really good ones.
No, Naruto and Makarov come from two completely different anime series, Naruto and Fairy Tail respectively. In the original stories, they have no relation at all. But in fanfiction, the rules are different. Some fanfic writers might come up with the idea of Naruto being Makarov's father just to mix up the elements from the two series in a very strange and unexpected way. This could be for the fun of it or to explore new storylines that are not bound by the original settings.
In such fanfiction, Natsu might be depicted as more passionate and impulsive than in the original work. His fiery nature could be emphasized in a romantic or more intense context. Laxus, on the other hand, may be shown as more brooding and powerful. His strength and dominance could be a key part of the relationship dynamic in the fanfiction.
Well, family is a big theme. Makarov considers the guild members as his family, and in fanfiction, this idea is often explored. For example, how he protects them like a father figure. Also, the theme of sacrifice comes up. Given his position, he might have to sacrifice his own well - being for the guild. And another common theme is the history of Fairy Tail. Makarov has been around for a long time, so his knowledge of the guild's past is often a part of the stories.
One key event could be when Yuri first realizes Makarov's true intentions. Another is when Yuri decides to take action against Makarov. And finally, the moment of their ultimate confrontation.
Well, maybe in this fanfiction Naruto has some clashing values with Makarov. Naruto values loyalty and friendship highly, if Makarov somehow goes against these concepts in the fanfic, Naruto could hate him.
One possible plot could be that Naruto discovers his relation to Makarov later in his life. He then travels to the Fairy Tail world to learn more about his heritage. Along the way, he might face challenges from both Naruto's world enemies who follow him and Fairy Tail enemies who don't trust this new stranger. He has to use his ninja skills and the newfound magic abilities he might inherit from Makarov to prove himself and protect his new family.
His guildmates would surely be main characters. For example, Natsu could be there. Natsu might be really confused at first but then would be super protective of baby Laxus. Another could be Lucy. She might be the one who is more practical in taking care of the baby, like making sure he has proper clothes and a comfortable place to sleep.
Well, one possible plot could be that Naruto is initially unaware of his relation to Makarov. He lives his life as a ninja in Konoha. But then, some strange events start to happen that lead him to discover his Fairy Tail heritage. Maybe there are some magical items from Fairy Tail that end up in the Naruto world. As he delves deeper into his new - found connection, he travels to the Fairy Tail world. There, he has to learn about magic and also deal with the politics of the Fairy Tail guild, all while trying to figure out how he fits in as Makarov's grandson.