In Bud, not Buddy, what is the conflict, rising action and climax in the new kid?
Your question needs to be somewhat clearer. To which "new kid" are you referring? Also you are only allowed to ask one question and you have asked three distinct and separate questions. Focussing my response on conflict however, the conflict in this novel seems to be between Bud and the society in which he is trying to survive. Remember the setting of the depression and the widescale poverty that surrounds the action of the novel. Todd, by choosing to run away and search for his father, is placed in a battle for survival where he lives by his wits and has to confront many different situations and people, including often his own imagination, that threaten to end his hunt. Consider Bud's own response to his situation:
Being on the lam was a whole lot of fun... for about five minutes. Every time my heart beat I could feel the blood pushing hot and hard on the inside of my sting spots and the bite on my hand. But I couldn't let that slow me down, I had t get out of this neighbourhood as quick as I could.
I knew a nervous-looking, stung-up kid with blood dripping from a fish-head bite and carrying a old raggedy suitcase didn't look like he belonged around here.
We can see then that Bud, being "on the lam" or on the run, faces a number of challenges and his real conflict is against the world he finds himself in and how it tries to impede or stop his search for his father, and Bud needs to draw on all his worldly wisdom and ingenuity to be victorious.