i do PC's, xbox360, PS3, android, iphone and many other electronic repair and troubleshooting. but your right i am not great with iOS software or troubleshooting steps but im not scared to look stuff up and ask questions how else would you learn.
i can tear down a iOS phone no questions asked thou. anyways back to the subject
i have tried itunes same problem, it has been charging for hours and same response when i hit the power button.
now that you say something it might be the battery
but from what i know from experience is even if your battery hold no charge to the point ware you take it off the charger and it shuts off. as long as it is hooked to a external power source it will still function as normal until you unplug it.
i maybe wrong but i know my ipod video is like that along with many iphone i have had come in with junk batterys.