Can I get detailed answers for the following ?

1. Officer Duright observes a woman holding what appears to be a severed, bloody human hand. As he approaches the vehicle, the woman makes a furtive gesture toward the floorboard of the car. May the officer order the woman out of the car? May he search it for the hand without a warrant?
2. Distinguish an investigatory stop from an arrest.
3. List the rights included in the Miranda warnings. When must they be read to a defendant?
4. What is chain of custody?
5. Brazen Blake killed his wife and was serving a life sentence in prison without the possibility of parole. One day Blake got a new cell mate and did not like him because the cell mate was openly gay. Blake asked to be transferred to another cell block but was denied. One day Blake saw a shovel used by the grounds crew resting up against a wall. Blake grabbed the shovel and hit his cell mate over the head with the shovel causing the cell mate to bleed and need stitches on his head. Blake was charged with with battery on a prisoner. Blake's defense was that his cell mate had made sexual advances at him the night before and the prison denied his transfer. Is Blake guilty of the offense charged? Does he have a defense?
6. A pharmaceutical company's agent secretly gives a free three-day ski resort vacation to a hospital purchasing agent, urging the purchasing agent to "to keep in mind the pharmaceutical company's products" when ordering pharmaceuticals for the hospital. What, if any, offense has been committed and by whom?
7. Billy is in an interrogation room at a police station. He was brought there after being arrested on suspicion of DUI. He was not read his Miranda rights on the side of the road when he was taken into custody and was not read his Miranda rights upon arriving at the station either. The detective who enters the interrogation room is unaware of this information and begins questioning Billy about his whereabouts that evening. Billy mentions that he was at a bar called "The Floating Walrus." This piques the detectives interest, because a woman last seen at that bar has been reported missing. When the detective mentions her name, Billy breaks down crying and asks for forgiveness. Billy then says her body is in a wooded area about 250 feet behind the bar. The detective leaves the station, heads to that area, and finds the woman's body; she is dead from a gunshot wound. A gun registered to Billy is lying next to her. Does Billy have a valid basis to suppress his confession and why or why not?
8. On a hot summer day, an off-duty detective is having lunch in an Italian bistro in Las Vegas. He looks out the window of the restaurant and sees a man in long sleeved clothing walking back and forth in front of a bank across the street. The man appears to be constantly peering inside the bank's window and is checking his watch regularly. The officer decides to investigate. He walks across the street and confronts the man, asking him to explain what he is doing and to show ID. Unsatisfied with the man's evasive answers, the officer asks the suspect to raise his arms to the side and pats the man down. After feeling what he thinks is a gun, the officer reaches in the man's coat pocket. There, the officer finds a 9mm handgun and a small bag of cocaine. Would the man, now a defendant, have a valid reason to suppress the gun or cocaine and why or why not?