The standard reduction potentials of \( 2H^+/H_2 \), \( Cu^{2+}/Cu \), \( Zn^{2+}/Zn \), and \( NO_3^-/HNO_3 \) are 0.0 V, 0.34 V, -0.76 V, and 0.97 V respectively. Identify the correct statements from the following:
I. \( H^+ \) does not oxidize \( Cu \) to \( Cu^{2+} \).
II. \( Zn \) reduces \( Cu^{2+} \) to \( Cu \).
III. \( NO_3^- \) oxidizes \( Cu \) to \( Cu^{2+} \).