Chosen Solution

Just replaced my battery The phone is not turning on, though I can feel some heat while it is on charge. My PC does recognize the device

You may have damaged the backlight circuit on the logic board if you disconnected the screen without disconnecting the battery first. To be certain, shine a bright flashlight on the screen when you connect it to iTunes. If you see a dim image, then your backlight circuit is blown and will require a micro-soldering solution.