The original sentence would be:
'what's this book release date?'
Can I say it as:
'of when is this book release date' Even if it sounds odd?
Films and recordings are released: books are published.
We would usually ask, "What is/was the publication-date of this book?" (using is if it hasn't yet been published, or was if it has) or "What is/was the date of this book's publication?"
More informally we might ask, "When is this book to be published? What date?" Or, if it has already been published, we might ask, "When was this book published? What was the date?"
Your first question (with no 's after book) could be used in certain unusual circumstances, but your second couldn't. "Of when is" is not colloquial.
No, you cannot say it that way. Imagine what the statement version would be: This book's release date is ______. There is no of - we don't say "This book's release date is of ____."
We are asking a when-question, so we structure it like any wh-question. The noun phrase we are asking about is "this book's release date", so the question version is just
When is this book's release date?
You might be thinking about a different structure you've seen somewhere: As of when will this book be released? As of when is basically a rather fancy and formal way of saying "when".