These questions can be answered on the basis of Le Chatelier's principle.
The idea is that the system will move in such a way as to relieve a stress.
a) catalyst : No change. Catalysts increase reaction rate, but do not shift the equlibrium
b) increasing the pressure: The equilibrium will shift to the left because there are more moles of gas on the right than on the left
c) Decreasing the temperature: The equilibrium will shift to the left because the reaction is endothermic.
d) Adding inert argon gas: No change.
e) repeat of c). However, increasing the temperature would shift the equilibrium to the right.