Quote 1
Being rescued from that shattered train had been the first miracle of his life. But here, now, reposing in his arms, weighing next to nothing but changing everything, is the second. (2.15)
Ashoke is delighted with the birth of his son, which he associates with his miraculous rescue from a train wreck. For Ashoke, family will continue to be a source of happiness, no matter how much Gogol tries to muck it up in the future.
Quote 2
And yet to a casual observer, the Gangulis, apart from the name on their mailbox, apart from the issues of India Abroad and Sangbad Bichitra that are delivered there, appear no different from their neighbors […] There are other ways in which Ashoke and Ashima give in. (3.60)
How in the world are Ashoke and Ashima supposed to choose which American customs to adopt and which ones to ignore? Should they only do what's easy, or make a big effort to fit in? Do you think they strike a good balance in the novel?
Quote 3
Instead he tells her what Rana told him a few minutes ago, what Rana couldn't bear to tell his sister, over the telephone, himself: that her father died yesterday evening, of a heart attack, playing patience on his bed. (2.96)
There is a certain reserve, even between family members, that makes it difficult for Rana, Ashima's brother, to tell Ashima that her father has died. Only Ashoke is able to do so, because he and Ashima are so close.