This amendment protects people from unreasonable searches and seizures by the government. In the scene above it shows the officer checking the house because he saw the weapon.
This amendment makes it so that you can't be put on trial twice for the same crime, a person can only be tried for a high crime if a Grand Judge decides there's enough evidence. A person cannot be forced to speak against themselves. Also the government cannot take away a person's life, freedom, or property until trial and the government has to pay for a person's property in order to use it. In the scene above it shows an officer trying to take a man to court for murdering someone but the man has already been to court for it and he was not guilty.
A trial must happen quickly and in public. A person must be told what they are accused of, they have to have the trial in the area where the crime took place, and they have the right to a lawyer. Witnesses can be forced to testify and the accused person can be in the courtroom when there testifying against them. Also the judge for the trial has to be from the area of the crime. In the scene above it shows a judge telling the guy what he was accused of.