First one - oxidation of sulfite to sulfate - looks OK to me.
I am not entirely sure about the rest. Iodide is oxidized first to iodine, whether it gets oxidized further depends on many factors - could be it does, could be it doesn't.
Hydrogen sulfide can be oxidized to elemental sulfur or to sulfate. Again, no idea where the reaction stops (although assuming it goes all the way up to sulfate doesn't look wrong).
I doubt in one step conversion of KCl into K2CO3. I am not aware of any cation with insoluble chloride but soluble carbonate.
Perhaps some variant of the Solvay process could work, or converting KCl to KOH. But that's not a single step.