Fahrenheit 451 help with homework

There are numerous references to God and religious writings in F. 451.  In a world that seems to be against religion and faith, why do these references occur?  What do they say about the dystopian society described in the book?

What is the role of the government in F. 451?  Why is it that it seems to be everywhere and nowhere at the same time?   Why are the firemen the only visible portion of the government in this novel?

Why are interpersonal relationships so impersonal in F.451?   We see into various marriages and work relationships, but it seems to be the new friendships formed around the written word (books) that are most important. Why?