Is our narrator reliable?

Tony drops hints every now and then that suggest his memory may not be completely reliable. He speaks in the second person, much like the narrator from Notes From the Underground, and addresses the reader's point of view directly. He writes, "You might even ask me to apply my "theory" to myself and explain what damage I had suffered... and what its consequences might be: for instance, how it might affect my reliability and truthfulness" (pg. 49). Is it possible that he is suggesting that his recounting of the story is not completely accurate?
Tony begins his story by saying: "what you end up remembering isn't always the same as what you witnessed" (pg. 1). I see now that the "bathwater long gone cold behind a locked door" was meant to represent Adrian's suicide in the bathub. Sometimes, our imagining of how an event may have looked takes over, and the image becomes a memory in itself.
Among the uneasy feeling the narrator places in the reader about whether or not his story is told accurately, there are also a few strange character interactions. Tony suggests Veronica may have suffered some abuse in her childhood by her father and brother. Even stranger is Veronica's mother's attitude toward Tony. After first meeting her, he comments to Veronica in the car "I like your mom". Later, he receives a letter from Veronica's mother letting him know that he can do better.
Veronica's mother does not seem quite normal; why would a mother put down her own daughter and favor her boyfriend instead? The fact that Veronica's mother was cracking and frying eggs that morning makes me wonder whether this scene will become crucial to the book, judging by the fact that there is an illustration of an egg on the front cover.