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The two codes help alot here. They are for a secondary fuel and #1 injector. I have encountered this problem before and after looking over the pinpoint test we both say fuel pump. The fuel pump will get bad and start the limit fuel to the injectors. #1 is furtherest away from the pump so it will get less fuel. Its possible that you have both a fuel pump and injector going out but since the main issue is the pump fix that first. It is on the frame rail below the drivers door. Its in that fuel filter housing
Were did you get the injector?
You may really need to change the fuel pump and regulator.
Do you hear a clicking noise under the hood for a min when the key is first turned on?
p0262 and 263 is for the #1 injector. Did you see if the copper gaskets was on the tip and the orings were on? Is it hooked up? Just wondering.
I have never bought a autozone 6.0 injector. They have been all Ford so i have no experience with the cardone injector. I dont know if they are made good or are reman injectors. Im trying to think about more possibilities but the injector and fuel pump still are stuck in my head. Make sure the wire is on and not chafed anywhere