The Louisiana Purchase was a land deal between the U.S. and France. The U.S. bought over 800,000 square miles along the Mississippi river(West) for $15 million dollars. This was so important because it expanded the U.S. almost half their size.
The Federalists were opposed to the War of 1812 because it would interfere with British trade relations. The Federalists considered England to be a great commercial ally, and since the Federalists were quite in favor of staying wealthy, they didn't want to risk ruining their connections.
Due process and equal protection under the law-- due process requires laws be carried out fairly and equally.
The laws of the US are suppose to be "blind" in particular for the justice system. Despite the sex, race, or origin of a person laws should be executed and judged equally. Despite the expectation the system does fall short because it relies on the unbiased thinking of the citizen which is difficult to come by. As a result the whole corrections system deals with the issues like the example in the question where race, ethnicity, sex, and social class can determine the outcome of arrests and ruling on laws.