Police Psychologist

In this paper I will answer several questions in regards to the following scenario. You are a police psychologist for a major metropolitan area. You are also a member of its hostage negotiation team. You have just been called out to a crisis incident at 3:15 p.m. on a Friday. It is a residential area about three blocks from a middle school and a public library. The information you have at this time is that the subject is a 42-year-old male who is holed up in his house with his wife, son, and family friend. He has murdered his next-door neighbor and is threatening to kill those in the house if he does not get his demands. One of his demands is for immunity from the murder charge if he surrenders without harming any of the people in the house. He also wants a case of beer and some fast food soon or "something will happen".
My focus will be on the following questions. I will explain the type of incident, which category this hostage-taker falls into, and what my optimal role is in the situation. After that I will provide a plan and course of action to interact with this person. Explain the precautions I will take along with the precautions I will request the department to take. I will show what tertiary problems that I may be able to foresee in a prolong standoff and how I will address them. I will identify the sources I will use to gather information regarding the perpetrator and the specific information I would like to gather. I will identify how I would handle the situation with a very minimal amount of information; identify some probable hypothesis as to the perpetrator’s mental state, symptom presentation, and the likely outcome of the incident. Finally, I will speak to the roles you could have played in preparation for crisis incidents and how it could have benefited a department. Identify what needs to occur before I (as a psychologist) can become an integral part of the team.
The first thing I would have determined is if this is a hostage or non-hostage