Shyturtle's manga / #re-read!!! ^.^(12)

I finished reading this manga already and i looooove it! I love the twists and turns and how this made my heart squeeze in so many ways. SPOILER ALERT FROM HERE ON. I HAVE A QUESTION ABOUT THE MANGA. DON'T READ ON IF YOU HAVEN'T READ. One thing I'm not sure about is the part when Law and Jesse meet up again after 5 years (I believe?). Why was Jesse at a shitty school, sitting at a park bench, rather than being at a prestigious place? Was that compensation for telling his mother to let Law go or something? And how did Law find him??