There is a Person to Person conflict between Meg and The Man With The Red Eyes. She tries to punch him like Charles Wallace. He has his guards easily block her. We don't know his exact intents, but we know he wants to get them to go to IT. Meg is mad because he trapped Charles Wallace.
There is a person to self conflict between Meg and herself. She is always mad at herself because she doesn't like all her faults. She feels like she is a let down compared to her amazing parents. She also wants to be a good example for her younger siblings. When Meg and Calvin went outside and talked, she kept saying how terrible she was.
There is a strong person vs. nature conflict between Father and The Black Thing. The black thing is destroying the Earth. Father is trying to stop it from hurting anyone. When they saw the black thing from Uriel, Meg asked if that was what her father was fighting.
Join IT. IT will make everything easier.
I can't do anything right. I'm such a failure.
Don't say that, that's not true. We'll get through this together.