So far our group isn't sure about the overall main conflict, mainly because there hasn't been one. Since we can't find a main conflict, I'll just be talking about some of the little conflicts between the main characters.
John and Lorraine are both struggling with bad home lives, John having an alcoholic dad that introduced him to beer, and Lorraine having a pretty insane mom that thinks all men are creeps. John also struggles with his own addictions to alcohol and cigarettes, which he has to deal with every day since he doesn't know not to. Lorraine struggles with not telling Mr. Pignati that they aren't charity workers, and she has a hard time allowing him to buy stuff for her.
Lorraine isn't sure about continuing to visit the Pigman since he has obviously been hiding something about his wife's strange vacation to California. This has caused the conflict of the character's personality and home lives to be complicated, since they have the chance to have a better adult in their lives. John and Lorraine love Pignati, and both are conflicted on whether or not they should tell their parents since Lorraine's mom is insane, and John's parents are also bad role models. This just pushes the fact that John and Lorraine hate their parents, and their homes, and just want to get away and have a better life.
I'm not sure if the characters will solve their conflicts, but since I've read ahead to what our group has set on (like Henry has said), certain things complicate their relationship with Pignati, that could lead to more harm if they don't deal with it right. The thing that happens to Pignati grants John and Lorraine lots of freedom, which they've never had, and so far I don't think John is taking it well. Overall, I'm still not sure if John and Lorraine will ever solve their conflicts.