Answer to Question 1
b.
By Hund's rules the 3d shell fills first to maximize S. Since the value of S would be at a maximum for aligned spins of the two electrons and zero for antialigned spins, the answer is not likely to be true.
Answer to Question 2
c.
Electrons in the states with lowest angular momentum cannot have split energy levels because the spin-orbit coupling that splits the energies depends on j, which is determined by j = l s. If l = 0, however, j = 1/2 for single electron atoms. The electron has only one energy level.