If you have an old OS with an old version of iTunes, it is possible. If you have a newer system, it might as well be replaced because it is impossible to downgrade itunes.
If the metal body is broken, the best choice would be to get a new phone. Also, please do not charge your device if it is overheating. It is best not to know what mistreated liPo batteries can do.
One of these could be your problem: 1. Damage to dispaly or logic board during repair 2. Not the right kind of display 3. Device not reassambled properly (connector slipping after reassembly)
If the ribbon cable is ripped, it is most likely not fixible. If you know of a repair shop that fixes game consoles, ask them. Otherwise, it is probably not replaceable.
It sounds like you have damaged a charging circuit inside the phone. If so, it would be very hard to repair yourself. You should take the phone to a repair shop.