This is a fun question because the "rising action events" that you ask about are actually the meat of the book! (They are also the parts that are often the most humorous.) These events almost always take the form of "quests" that encourage Kevin through his friend, Max.
In one dual event, Max carries Kevin all over the city and they pretend to slay dragons together. It is a very fun game, and Kevin is encouraged to both be himself and dream of the future. Another time when Max is carrying Kevin and using his imagination, they wander towards the local hospital. Max imagines that the doctors there are creating robot droids that will be able to house Kevin's weak body. It is Kevin's identity and soul that will be transplanted while his weak body will fail to exist. (All the best parts of Kevin will remain!)
Another quest begins early in the morning when Max asks Kevin to rise from bed and dress in black. Max has found a purse that fell into the sewer, and the two friends grab the purse together. The next morning, they return the purse to the owner, a poor lady named Loretta who is connected to the local motorcycle gang.
One of my favorite events from the rising action takes place in school. Kevin and Max end up taking the same classes (even though Kevin has been known as "smart" and Max has been known as "dumb"). When the smart kids start teasing Max, Kevin immediately climbs up on Max's shoulders and the two declare themselves "Freak the Mighty" which creates the title for the book and admiration for all of Max's and Kevin's classmates.
As you can see, the two are an incredible team. Max, of course, is influenced as much by Kevin as Kevin is by Max:
Matter of fact, I watch tons of tube, but I also read tons of books so I can figure out what's true and what's fake, which isn't always easy. Books are like truth serum--if you don't read, you can't figure out what's real.
Together, the events in the rising action create my very favorite parts of the book.