I'm not very sure about the exact plot details as it's not a widely known story to me. But generally, it might be about the experiences and relationships of children.
One idea could be a crossover with a magical girl anime. The characters from Tsurezure Children could find themselves in a world where they have to fight evil using magical powers. For example, the shy characters might discover newfound confidence when they transform into their magical forms.
Akagi would be a great character to focus on. His confident and sometimes over - the - top personality could bring a lot of humor and energy to a crossover. For example, if he was in a crossover with a detective anime, he might try to take charge of the investigations in his own unique way.
I'm not sure specifically what 'Cap deage' means. It could be a very specific term, a misspelling, or something relatively unknown. It might be a proper name, a local term in a certain area or a very niche concept.
I don't have enough information to say exactly who Cap'n Kathy is. She could be an original character created by the fan fiction writer. Maybe she's a pirate - the 'cap'n' part could suggest that - who has some connection to the wizarding world of Harry Potter.
The cap man and monkey story is an interesting one. There was this cap man who was traveling around selling his caps. He reached a place near a forest and decided to take a rest under a tree. While he was sleeping, the monkeys in the tree noticed the caps. They climbed down, grabbed the caps, and went back up the tree. When the man woke up, he was confused at first, then saw the monkeys with his caps. He was worried as those caps were his livelihood. But then he remembered that monkeys often mimic human actions. So he took off his own cap and tossed it. The monkeys, being the imitators they are, did the same with the caps they had taken, and the cap man got his caps back.