A:AnswerIf I may suggest, look into buying an Apple TV for viewing photos from your phone. No cord needed. Refurbished ones work as well as new, if the price concerns you.
As far as your cord issue, you should be able to find a longer lighting cord pretty easily.
A:AnswerYes, with the travel kit and proper plugs, your iPhone and iPad auto convert the voltage.
You can also stick a regular plug adapter onto the us prongs and that works too,.