Maybe Harry is crying because he misses his parents. He often feels the pain of their absence deeply, and in this fanfic, when Sirius sees him, that could be the cause.
Well, it could be that he's feeling the weight of his destiny. Harry has so much on his shoulders, like fighting Voldemort. Maybe he just had a particularly tough encounter with the Dark Arts or lost someone dear in the fight against the dark side. Another reason might be his feeling of isolation. Despite having friends, there are times when he feels alone in his battle.
One possible reason could be that Naruto is feeling lonely. Despite having friends, he still has moments when the weight of his past, like being an orphan and ostracized in the village as a child, hits him hard. Jiraiya might see Naruto crying because of these memories resurfacing.
Sirius might immediately rush to Harry and give him a big hug. He's like a father figure to Harry, so physical comfort would be his first instinct.
Perhaps he's feeling isolated. Even though he has friends, he often has to face his battles alone in some ways. Ginny finding him crying could be a moment of vulnerability that she witnesses, and it might be related to his feeling of being alone in the fight against the dark forces.
It could be due to the danger they are constantly in. In the wizarding world full of dark forces, Ginny might be really scared for Harry's safety. She loves him deeply and the thought of losing him makes her break down in his arms.
One reason could be that he's facing extreme pressure in potions class. Maybe he's constantly compared to others, like Snape always having high expectations of him. Another reason might be that he has some kind of emotional turmoil related to his past traumas while in the potions environment. For example, the smell of a certain potion might remind him of a difficult time at the Dursleys.
Another possibility is that she had an argument with a friend. It might not even be Ron. It could be with Harry or another Gryffindor. She's very sensitive about her friendships and any conflict could make her cry.
One possible reason could be unrequited love. In the fanfic, Chansung might be in love with someone who doesn't feel the same way. This could lead to a deep sense of sadness and cause him to cry. For example, he might have confessed his feelings but been rejected, leaving him heartbroken.
One possible fanfic could be titled 'The Grief of Harry: When Sirius Fell'. In this fanfic, it might show Harry's immediate reaction of shock and disbelief. He might stand frozen as he witnesses Sirius's death, then slowly sink to his knees, tears streaming down his face as he screams in anguish. His world would shatter, and he'd feel a loneliness like never before.
One possibility could be that Harry has faced some extreme danger or a great loss in the wizarding world. Maybe he lost a close friend in a battle, and Snape, despite their past differences, offers him a moment of comfort. Snape, in this scenario, might be showing a side of himself that Harry has never seen before, a more empathetic side.