1. Does McMurphy represent a Christ-like figure?
I think he somewhat does. I believe that Kesey portrayed him as a Christ figure because he entered the ward and acted as sort of a 'savior' and ultimately gave his life for the good of the patients. His intentions may have been skewed toward himself at times, but in the big picture McMurphy plays a Christ role in the book.
2. Is Chief a reliable narrator?
I think so because even though he is trapped by the 'fog' and his hallucinations at times, he still conveys information well. He is biased toward McMurphy and looks up to him, but the reader is able to recognize these biases and is able to see all that is happening without skewing the meaning of the book.
3. Is McMurphy a hero or an antihero?
While McMurphy is certainly some sort of a hero, he doesn't always act in a way that is beneficial for anyone but himself (like the gambling). He doesn't always have the right motives, but in the end he does the ultimate sacrifice. McMurphy, controversies and all, takes his life for the team and their future benefit, and that classifies him as an antihero.
4. Why does Chief finally decide to speak?
I think Chief speaks, toward the end of the book, because he is finally getting better. Less of the fog is coming on, and I believe this is because of McMurphy, who helps the Chief realize his sense of rebellion and lost spirit. It is because of his recovery, a by-product of McMurphy, that Chief decides to speak.