What is the correct reaction of sulfur dioxide with chlorine?
Sulfuryl chloride ($\ce{SO2Cl2}$) is prepared by the reaction of $\ce{SO2}$ and $\ce{Cl2}$ over activated charcoal, details of the preparation are here 1.

Thionyl chloride may be prepared from $\ce{SO2}$ and $\ce{Cl2}$ but the reaction requires an equivalent of $\ce{SCl2}$ to be present.