I have to write a BOOK REVIEW and a WRITTEN ESSAY on the same book and I don't know what the difference is between them because the rubric doesn't give me very many details on how to do it

Here's a good explanation about writing book reviews.

http://writingcenter.unc.edu/handouts/book-reviews/

I don't know what your instructor expects in the written essay. My best guess is that s/he wants you to take a particular point of view about the book, develop a thesis statement, and then defend your viewpoint with at least three substantial arguments for it.

How many paragraphs should this be? my essay must be 2-4 pages but he doesn't specify the length of the book review at all and I'm not sure if it should be as long or not

This site recommends 750 to 1,000 words.

http://www.colorado.edu/journals/cye/CYE_BookReviewGuidelines.htm

I need to state if the style of the book is subjective or objective. Is it subjective because it is a fictional book?

Yes.

Writing a book review and a written essay on the same book can be confusing, especially if the rubric doesn't provide clear instructions. However, I can help you understand the difference between the two and guide you on how to approach each task.

1. Book Review:
A book review is a brief evaluation of a book, typically written for a specific audience, such as readers of a particular publication or potential book buyers. The purpose of a book review is to summarize the book's content, provide an opinion or critique, and offer recommendations. Here's how you can write a book review:

a. Read the book: Start by thoroughly reading the book and taking notes on its key elements, such as the plot, characters, writing style, themes, and any notable passages or quotes.

b. Introduction: Begin your book review with a concise introduction that includes the book's title, author, and publication details. You can also include a brief overview of the book's genre or subject matter.

c. Summary: Provide a brief summary of the book's plot or main ideas, giving readers an understanding of the story or the key concepts presented.

d. Evaluation: Share your opinion on the book's strengths and weaknesses. Discuss aspects like character development, writing style, plot structure, themes, and any other elements that stood out to you. Back up your arguments with relevant examples from the book.

e. Recommendation: Offer a recommendation to potential readers. Specify the target audience who might find the book interesting and explain why they would enjoy it or benefit from reading it.

2. Written Essay:
A written essay, on the other hand, is typically a more in-depth analysis of a book or its specific aspects. It requires a deeper exploration of themes, ideas, and literary techniques. Follow these steps to write a written essay:

a. Select a topic: Determine the specific aspect or theme of the book that you want to analyze. It could be a character's development, the author's use of symbolism, the exploration of a particular theme, or any other relevant area you find intriguing.

b. Thesis statement: Create a strong thesis statement that clearly states the argument or main idea of your essay. This statement should serve as a roadmap for your analysis.

c. Research and evidence: Conduct research to gather evidence that supports your argument or analysis. This may involve referring to critical essays, interviews with the author, or other reliable sources. Collect quotations or specific examples from the book that illustrate your points.

d. Outline: Organize your thoughts and evidence into a logical structure for your essay. Create an outline that includes an introduction, body paragraphs, and a conclusion. Each paragraph should focus on a distinct aspect of your argument and be supported by evidence.

e. Analysis: In your body paragraphs, delve into your analysis and interpretation of the book. Break down the chosen aspect, discuss its significance, and provide evidence to support your claims. Use literary techniques and critical thinking to analyze the book deeply.

f. Conclusion: Summarize your main points and restate your thesis in the conclusion. Reflect on the broader implications of your analysis and its relevance to the book as a whole.

Remember to refer to the rubric to understand any additional requirements specific to your assignment.

By understanding the differences between a book review and a written essay, you can approach each task with clarity and confidence.