Statement 1: A spontaneous reaction is always exothermic.
Statement 2: Exothermic reactions release energy from the system.
All Spontaneous processes are not exothermic because it is Gibbs free energy that determines spontaneity, not the enthalpy.
A process is spontaneous even if the Gibbs free energy is negative.
ΔG = ΔH - TΔS
It is true that Exothermic reactions release energy from the system.