iPhone 6 restart

Last night late at night, my phone started blinking. I brushed it off as something simple, like my phone died. I turned it on this morning, and it showed the iTunes logo and a USB cable. I didn't have time to deal with it. I just left my phone charging. I came home, googled it, did everything, restarted it, and didn't work. I tried this multiple times, and did not work. I tried restoring it to factory settings, and it had an error message like "Phone not eligible, try again..." I didn't do anything to it, and it is fairly new with no scratches, etc. I also didn't do the "retro Mac hack" at all, just to make it clear. Any advice?