Hermione would probably be very shocked at first. She has always seen Snape as a rather cold and unapproachable figure. But after some thought, she might understand Harry's motives if he explained that it was about finding common ground and healing old wounds. Ron, on the other hand, would likely be more openly skeptical and might make some sarcastic comments at first, but eventually come around when he sees the positive impact it has on Harry.
The other professors would have mixed reactions. McGonagall might be secretly pleased that there is some sort of reconciliation between Harry and Snape, as she has always been concerned about the strife between them. However, Filch might be scandalized, as he is used to the strict order and hierarchy at Hogwarts and such an unorthodox display of affection would seem out of place to him. The students would mostly be in awe or disbelief, and it would likely be the talk of the school for a long time.
One possible plot could be that after a particularly difficult battle, Harry realizes Snape's true self and the sacrifices he made. In a moment of understanding and new - found respect, Harry approaches Snape. Snape, initially hesitant, allows Harry to get close. They start to talk about their past misunderstandings, and as the conversation deepens, Harry, out of a sense of comfort and connection, cuddles with Snape as a sign of forgiveness and new - beginning.
At first, Severus would probably be very suspicious of Harry. After all, Harry is an unknown figure suddenly appearing. But Harry, being the friendly person he is, would try to break the ice. He might start by complimenting Severus on his potion - making skills, which Severus is already quite good at even as a young boy. Their interaction would be a bit tense initially, but as they start to understand each other more, they could become friends or at least allies.
If Snape's family were to interact with the Malfoy family, it would be a complex situation. Snape had ties to the Malfoys in the past, but his new family might have different values. His family could try to distance themselves from the Malfoys' pure - blood supremacist views. Or, they could try to reform the Malfoys through their own positive influence, leading to some tense and thought - provoking interactions.
In some fanfictions, Snape's relationship with Harry is shown as more of a father - son relationship. For example, in 'A Different Kind of Bond', Snape takes Harry under his wing early on, and they develop a mutual respect. This is very different from the strained relationship in the books.
The relationship would start off rocky. Snape would be resistant to Harry's kindness as he has always seen Harry as James Potter's son. But Harry's persistent efforts to understand and help Snape would gradually break down Snape's walls.
In some fanfictions, Snape might share some of his knowledge about the wizarding world's secrets with Harry. Maybe he tells Harry about certain spells or magical artifacts that could help Harry in his fight against Voldemort. This act of sharing knowledge is a way of being nice as it gives Harry an advantage in his battles.
His relationship with Dumbledore would also be transformed. Harry might be more suspicious of Dumbledore's actions in the past, especially if he discovers things about his mother that Snape knew all along. He could question Dumbledore's motives more deeply and not be as blindly trusting as in the original series. This could lead to a more strained relationship between them, at least initially, as Harry tries to figure out the truth about his family and Dumbledore's role in it.
Harry is sometimes depicted as the one who breaks through Snape's walls. He uses his Gryffindor courage not just in battles but also in matters of the heart. He bravely approaches Snape and tries to build a relationship. Snape is then reimagined as a character who is in need of this love and acceptance. His cold and often cruel demeanor in the original story is softened, and he becomes a character who is capable of great love and tenderness when it comes to Harry.
Often in fanfiction, the ring can be a plot device. It could be that Harry Potter unknowingly has a connection to the ring, and Severus Snape has to keep it from falling into the wrong hands. This creates a situation where Snape has to protect both Harry and the ring, leading to some tense and interesting storylines.
A lot of fanfic writers will create unique storylines for Snape's courtship. They might introduce an original character who manages to break through Snape's tough exterior. His courtship would then involve him struggling with his own insecurities and his reputation. This character might see the good in him that others overlook. There could be moments of tension and misunderstanding, but also deep, meaningful conversations as they get to know each other better.