HELP! Logic board physical damage

That’s just a scratch, nothing to worry about. Below that black sheathing is a metal shield. It’s there to sink heat from the CPU and conveniently protects the components underneath.

What this does show instead is that someone else was poking around inside the device so it’s hard to say what was and wasn’t done. If the phone won’t turn on, that could be caused by a lot of different things so you may want to start testing and get back to us with more details. The good news is that there doesn’t seem to be any water damage.

I would do the following (in order):

1. Always try another Lightning cable and charger, preferably Apple original or MFi certified units.
2. The Lightning cable 8-pin connector should be sitting flush with the housing and completely inserted. If it is not, there could be lint/dust/debris inside the port impeding a proper connection. You can clean it out with fine point tweezers or a dental pick. Just be careful not to damage the pins inside the Lightning Port.
3. Change the battery. The battery is the weakest link in the entire phone and certainly for charger related issues. It is also the easiest thing to replace. Use a battery utility, such as coconutBattery (for Mac) or 3uTools (for Windows) to test the battery prior to removal. Anything less than 70% of design capacity will require replacement.
4. If the battery is in good condition, you can use a USB Ammeter to determine if the phone is really drawing current when it says it's charging. If it isn't drawing current, then I would change the Lightning/Charge Port.
5. If a new battery and charge port still don't resolve the issue, then you either have faulty replacement parts (possible) or a logic board issue.