An object is attached to a horizontal spring. It is initially displaced by distance Δx from the equilibrium position and then released from rest. At what point of its motion along the x-axis reaches the object its highest total energy

Question

a) At the equilibrium position
b) At the position where it is released
c) At midway between the amplitude and equilibrium positions
d) The total energy is the same at all positions
e) The object reaches its highest total energy only during a later cycle, not during the first oscillation

My ans: KE is highest at the equilibrium position and PE is highest at maximum displacement.. TE is a linear relation and should be constant (no damping - simple harmonic motion) so I believe answer is d) ?