Your balanced equation is correct.
However, your answers are not right. It makes no sense to say that chlorine was a reducing agent, since the reducing agent has to be either NaClO or HCl, not just the element chlorine. Although we look at the oxidation number of elements to determine the reducing and oxidizing agent, it is the entire species that can be properly called reducing or oxidizing agent. Finally, sodium will never have +3 oxidation state.