Most electrical appliances these days have security screws to discourage users from messing with them. The most common type is Torx head.
http://www.acumenteurope.com/en/images/fastite2000AB.jpg
You can buy small sets of security driver bits from all good DIY and hardware stores quite cheaply - and a driver handle to fit them to, however....
I wouldn't bother - years ago I used to mend broken irons and toasters etc but these days they design and make them to be virtually impossible to repair - how to dismantle? where to get parts?
You will be better off just throwing the broken one away and buying a mid range to cheap replacement iron - if it lasts longer than three years you will have done well.
Good luck...
Peccavi
August 2009