Based on the choices he made in this section, I have a great opinion of Percy. He chose to fight the Minotaur to save his friend's life, and he also fought his own hurt and exhaustion to drag Grover into safety. He says, "I was crying, calling for my mother, but I held on to Percy—I wasn't going to let him go." The only time Percy showed fear was when the monster was about to attack his mother, and I think anybody would show fear in that situation.
The conflict between Gretchen and Squeaky is that they both want to win the race. Winning is very important to Squeaky. She has a complicated life because she has to spend most of her time looking after her brother, Raymond, who is older than her but has a younger mental age.