Irony of self
The irony of self is that it governs our behaviors, whether or not what we choose to believe about ourselves is accurate. The truth of the matter is that Henry Park is Korean, just as he is American, and he might be a traitor because of that. In any interpretation, the reader is shown clearly that what Henry does for a living is essentially extortion, so this irony is even broader than ethnic heritage. It includes basic humanity. When we lack a sense of ourselves as members of a community, we turn sociopathic.
Irony of cultural traditions
The novel shows us this pattern: when cultural traditions feel imposed, the children grow to resent them and reject them, leaving them stranded without a place to attach their story together with the stories of others. This makes them prone to betray their own cultures by exploiting them. The irony here is that the more voluntary people's participation in their culture is, or the less imposed it feels in their childhoods, the more likely they are to use their ethnic heritage in their sense of self.
The irony of the list of evils
Consider the Pauline letter to the Corinthians, "Love keeps no list of wrong-doing." Henry's wife Leila sure does, and in the ultimate act of selfishness and ego-centrism, she gives that list to him to let him stew over. And he does, in fact he commits the list to memory.
The irony is that telling someone all the bad things about themselves is hateful and evil, so it's ironic that his wife would do that to him, but in a greater sense, it's even more ironic still, because it's exactly what he does to himself. His sociopathic tendencies are born from the fact that he only keeps a list for what is wrong about him, instead of keeping a list of what he likes about himself and his heritage.
The irony of Henry's occupation
Henry could have sold insurance, right? He could have done any number of jobs, but no—he had to pick the occupation that brought out his internal conflict most, becoming an informant against his own people.
The irony of Henry's foil
The foil for Henry's character is the politician he is hired to help bring down. John Kwang is a people person, a true authority figure in the community, and when Henry gets closer, he learns that the same crisis of self that led him to be an informant was the same dual citizenship that allowed John Kwang to protect and serve the community that Henry works to disrupt and harm.
