Not exactly. Batman Begins is one interpretation of Batman's origin story, but it's not the definitive or only 'real' one. Different Batman stories and adaptations offer various takes.
Well, Batman's origin story often involves the trauma of witnessing his parents' murder. This event drove him to train and develop the skills and gadgets needed to become the Dark Knight.
The Batman character draws inspiration from a wide range of DC Comics. It's not tied to one particular comic. His traits and adventures are a combination of elements from various Batman-related publications.
One must - read Batman story is 'The Killing Joke'. It delves deep into the relationship between Batman and the Joker. It's a dark and psychological exploration that shows the complex nature of their rivalry.
Batman would probably isolate himself at first. He'd retreat to the Batcave to analyze the situation. He might feel a sense of guilt, thinking he should have seen the betrayal coming. After that, he'd start planning his counter - move. He'd use his vast resources and knowledge to expose the truth behind the betrayal and take down whoever is behind it.
'A Death in the Family' is a significant story. It was a major event where Jason Todd, the second Robin, was killed. This story had a huge impact on Batman, making him more brooding and determined. It also showed the brutality of the Batman universe and how high the stakes can be for the characters.