Due 3/1 Iliad section

1. What does Patroclus propose to Achilles and what is Achilles’ response? Why does Achilles grant Patroclus’ request?
Patroclus wants to fight for the greeks because Achilles has too much pride and even if he sees his men dieying he doesn't want to fight. That's why Patroclus wants to help out. Achilles agrees with him but tells hima that he has to dress like himself that way the Trojans wouldn't kill him. He also doesn't want him to conquer Troy if he isn't there. He wants to be the one who does and he is worried about his healthbecause he can get kill.
2. On p. 413 line 35 (approximately), Patroclus tells Achilles that Achilles is “cursed in [his] own courage.” What does Patroclus mean by that and do you agree with him?
What i think that he means is that Achilles pride is making him have a downfall. He is seeing his man die and he doesn't help because of his pride. I do agree with him because i think the same way.
3. My question is why or how did Achilles join the Greeks?