The correct answer to number 1 is C) Nullification Doctrine
Federalism is a political system in which federal, state, and local governments share power. Since this is the definition of federalism, the answer choice needs to be one where there is a problem between the state and federal government. A perfect example of this is the nullification doctrine, as this argued that states had the right to nullify (void) any federal laws they thought were unconstitutional.
The correct answer to number 2 is B) Nullification doctrine.
The Kentucky and Virginia Resolutions were developed as a result of the Alien and Sedition Acts passed in 1798. The two states, Kentucky and Virginia, felt this new law violated the rights of citizens (especiall their first amendment right of freedom of speech). This is why they wrote a document trying to nullify (void) this federal law.