He resigned because he'd already had enough trouble as president. Mainly the Watergate scandal. His plan was for him to step down and if he was arrested the vice president which would then be the vice president would pardon him. Also, if he didn't resign he'd likely be impeached anyway.
The Soviets were setting up nuclear missiles in Cuba. This meant that they were now able in theory to launch a nuclear missile directly at large parts of the USA and it was therefore viewed as a threat by the USA. I hope that helps.
To spread their ideology to the world and to become undisputed
Answer C. Although the anti-federalists wanted a weak federal
government, fearing the possibility of another government in which they
had just revolted against, they were able to push for the Bill of
Rights. The Bill of Rights grants individuals protections from the
government, especially a corrupt government.