In order to win the election, John Q. Adams bribed, with places in the government, men to choose him for the election. This resulted in his victory.
Jackson was considered the 'common man' president. He often consulted his personal group of friends instead of his Cabinet.
Being an agricultural state, South Carolina wasn't pleased when a higher protective tariff was put on foreign goods. They decided to nullify, or ignore the law. But ultimately, the government has control over the states and forced them to obey it with a compromise.