iPhone 6 Plus won't charge unless turned off

Had my iPhone 6 Plus for over 2 years now. Temperature warning has came on before in the past due to heat. Otherwise never dropped the phone or had any other issues. Recently I plugged my phone into my friends car charger with a non Apple usb lightning cable. My phone did not charge when connected to it. I left it plugged in incase it was supplying a small charge. Phone still died. When I got back to my truck I plugged it into my car charger and nothing happened which was odd (it always charges my phone). so later I plugged it into my apple charger and cable at home and it took 20+ min for it to come back on. Went out later the same night and phone died naturally while I was out using it. Came back home and plugged it in and went to sleep. Next morning phone did not turn on.

I replaced the battery in it and the Lightning port to fix the issue. Phone still didn't charge, but came back to life due to the new battery. I cannot connect to iTunes and cannot I update my phone (software update always searching). I have a device to tell me how fast the phone is charging and when the phone is ON it is at 0.090 when I turn the phone OFF it jumps up to 0.445 Before the issue phone would charge at 1.458- 1.509 (it fluctuates). I have tried using different chargers but I get the exact same readout.

I am currently running iOS 8.0.2. The newest update available at the moment is iOS 9.3.2 (but like I said I cannot update) also have tried multiple hard resets and even reset all settings nothing helped.

Any suggestions to fixing the problem? Possible burnt out fuse?