H2O2 + NaCl + H(+) reaction?
Not necessarily.  If you get the pH right and the stoichiometry absolutetly 1:1 then you might form $\ce{Cl2}$.  However your reaction will compete with other reaction and you will more likely oxidize the chlorine into chlorate ions ($\ce{ClO-}$, $\ce{ ClO2-}$, $\ce{ClO3-}$, or $\ce{ClO4-}$).