When you have old oxidised lead free solder, the only real option is crank up the heat on the iron, 400 odd is what i have used for salt corroded lead free in the past, tin the tip of the iron and rub a little to get heat into the joint, then add some clean fresh solder, the solder in the joint wont actually melt more the oxidized skin will come loose, allowing you to much more easily clean and rework the joint,