The problem is it is a redox reaction. KI is already reduced so your first equation can not work. SO2 is oxidised to sulfuric acid, so you need a oxidiser. Only iodine can do it.
In the discription of the method they mentionen the yuse KIO3
Set the rod in the corresponding hole from the back and turn it clockwise, later set the nut clip. Place a 25 mL burette in the burette support. with . Place the glass tubes in the rack and put one stirrer magnet inside them. Connect the power voltage feeder and press . The leds will shine on indicating current in the instrument. will remain . Fill it Titration Liquid (Potassium Iodate N/128