Activation energy is not shown in enthalpy level diagrams
Activation is shown in reaction profile diagrams

The enthalpy change during an exothermic reaction

The enthalpy change during an endothermic reaction
It is important to specify the physical states of each species in an equation when dealing with enthalpy changes as any changes in state can cause very large changes of enthalpy. For example:
NaCl (s) → Na+ (aq) + Cl- (aq) ΔH = +4 kJ mol-1
NaCl (g) → Na+ (g) + Cl- (g) ΔH = +500 kJ mol-1
Also, remember that the system is the substances that are reacting (i.e. the reaction itself) and the surroundings is everything else (e.g. the flask the reaction is taking place in).
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