What was the conflict in Chapter 1?

Unless we are looking at the historical conflicts the Finch's had been a part of, the first conflict is found in the disagreement between Scout and Jem (years later) over Jem's injury to his arm.

"I maintain that the Ewells started it all, but Jem, who was four years my senior, said it started long before that. He said it began the summer Dill came to us, when Dill first gave us the idea of making Boo Radley come out."