Engine runs rough and codes PO175, PO172, PO351, PO161 and PO141

If the pins got hot enough then it will melt the base of the pin. So good chance the injector connectors are melted.

Sounds like a lot of extra work for you. Let me know if you have any questions as you are getting this fixed.

You are right. Sometimes it looks worse than it is. Hopefully it is not as bad.

That is good to hear.

Looking at the video, it appears to have quite a bit of damage.
Besides the injectors, you will need to have the wiring harness for them and might need the engine harness as well. Of course, the fuel lines and the fuel pressure regulator.
I agree with you on the video, the best course of action would be to go to a junk year or one of those pick n pull places where you can remove the parts that you need from vehicles and take off the items that are burnt.
As for the cost, it will depend on what all the parts have been replaced.
But if you were to take this to a shop it is easily a few thousand dollar's worth of repair.

Can you point me to the ones you are not sure of, that will make it easy?