If you have a solar panels, a battery, and generator, it would be good idea to figure out how to hook them all together. Using the generator near its full output, to charge the battery, will use far less fuel than idling it all day.
Even if things are bad enough for iodine pills, they are only really needed for children. Once you hit your mid teens, your thyroid is fully developed and not pulling in enough iodine to worry about radioactive isotopes.
I assume the iodine is about water treatment and not radiation?