I have the same problem, in addition to more bad histories with apple Iphones, first my brand new iphone 5, that I have use it for less than 1 month is not charging even by computer USP or by electrical original plug, suddenly the plug itself exploded on the same day, I’m trying to get explanation for what happen, the problem was the original lightning socket is not well made and very weak and easy to internally damage, the week welding for the thin wires made a short circuit caused that explosion to the plug, the is unsafe cable to use when I decide to buy another one I search for another brand cable to avoid that imperfection, so when you buy a new cable you should be sure that the cable is well casted with socket.
My old bad story with apple that I have iphone 4 before I my 5 one, suddenly when it is in my bosket I feel there is heat inside it, and the phone become very hot and the metal side approximately burned my hand, I can’t even touch it to close, a warning triangle colored yellow appear informing that I should close for the high temperature. I lost this phone and sell it with too cheap price.