Quickly check this half equation

I need to write a half equation for the oxidation process occurring in this reaction:
2H2O + SO2 + Cl2 -> H2SO4 + 2HCl

I put: 2H2O + SO2 -> SO4^2- + 2H^+ + 2e^-

Have I done this right? If not what have I done wrong, because I'm not sure if I'm right and fully understand this

SO2 --> H2SO4

SO2 + 2H2O --> H2SO4

SO2 + 2H2O --> H2SO4 + 2H^+

SO2 + 2H2O --> H2SO4 + 2H^+ + 2e^-

Yep, you're correct