Yes. The interface cable is interchangeable between any lightning device.
the iPhone AV cable fit iPhone very well. You may be some iPhone component in bad quality.
Yes it will, Both iPhone 6 and the iPhone 5 have the same lightning port on the bottom.
Yes, the iPhone come with a USB cable, the same is used to charge the battery and to connect to a PC or Mac.
use the cable that came with your iphone
You can buy an external cable for that.
Yep. iPhone USB charger is good.
Yes, you can use the iPhone PC cable to copy music from your iPhone to PC.
Plug in your usb cable.
If it gets into the power supply that is charging it, yes. The power surge from a lightning bolt can easily damage or even destroy an electronic device such as an iPhone.
When the Iphone first came out.
If the phone isn't charged, it won't show up on your computer. Make sure it's at least charged a bit before plugging it in. Or, try another cable. I think the cable is out of work.