The correct answers to the incorrect answers for the quiz are:
4. The Army of Northern Virginia was led by General Joseph E. Johnston (from the time it was created as a merger of the Confederate Army of the Potomac and the Army of the Shenandoah) until he was wounded. It was then under the command of General Gustavus Woodsom Smith for one day, before General Lee of given command on June 1, 1862.
6. The Emancipation Proclamation did not declare the freedom of slaves in America. It only purported to free those slaves in Confederate states in areas not under the control of the Union forces on January 1, 1863. All slaves in the Union slave states, the border slave states with disputed governments, and in areas under Union occupation were specifically not freed.
13. 13, not 11, states seceded from the Union and sent legislators to the Confederate Congress. Kentucky and Missouri also had governments loyal to the Union and sent legislators to the US Congress. However, the Ordinances of Secession passed by the Kentucky and Missouri legislatures were just as valid as those passed by the other states.
14. The first battle of the Civil War was not First Manassas. According to the Civil War Sites Advisory Commission, First Manassas is the 11th battle of the Civil War, and the second to be rated by the SWSAC as "Decisive". The real answer to this question has already be given in question 2. The first battle, rather obviously, was at Fort Sumter, South Carolina. Like First Manassas, it was also a Confederate victory.