The miranda Warning is an issue warning people that they have the right to remain silent, so they cannot be further prosecuted until in court. The sixth amendment is the right to a fair and speedy trial, and the fifth amendment maintains innocence until proven guilty, and also the right to not be held guilty for an unjust charge.
These are all important because they represent basic American rights that are extended to all citizens, and are a major part of the United States' justice system