All of the things that you mention here were important incidents in the presidency of Andrew Jackson. Let us look briefly at each.
The Bank War was a political conflict between Jackson and his followers and the supporters of the Second Bank of the United States. Jackson felt the bank was run by and for national elites and that it hurt the common people. Therefore, he used his presidential powers to destroy it. This happened in the 1830s.
Indian Removal had to do with removing the “Five Civilized Tribes” of Native Americans from the Southeast and moving them to what is now Oklahoma. This was done in the late 1820s. The Supreme Court ruled that the Cherokee, at least, did not have to move, but Jackson did not support their decision. Instead, he supported Indian Removal because it was what was best for the white settlers who wanted the land that the Indians lived on.
Finally, there is the Nullification Controversy from South Carolina. This took place in the late 1820s and early 1830s. The Congress had passed a strong tariff on imported goods. This hurt the South and helped the North. South Carolina argued that the tariff was unconstitutional and said that it (the state) had the right to nullify (ignore) any law it felt was unconstitutional. This was a crisis because allowing nullification would essentially have split the country and allowed every state to do whatever it wanted. Jackson firmly opposed nullification, though he did persuade Congress to reduce the tariff as well.