The two parts of the brain primarily involved in recalling information like when a book report is due are the hippocampus and prefrontal cortex. The hippocampus plays a key role in memory formation and recall, particularly for declarative memories (like facts and events), while the prefrontal cortex is involved in higher-level cognitive processes, including decision making and recalling specific information related to tasks. Therefore, the correct answer is:
Hippocampus and prefrontal cortex.