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Hi, I'm Mike G and I'll be assisting you. The black wire should be the hot and the red wire the switched hot. I suggest if you intend to use the red that the 2 outlets not be half switched. Should you want to use a dimmer which isn't allowed on a receptacle.
Should be 12/3 on the existing half switched receptacles
the other outlets may be 12/2. The lights need to run from the switched outlet boxes or the switch box.
In the switch box, remove the red wire Ans connect it to the black wires
connect the new black wire to where the red was. Connect the white to the other whites.
That's correct. Code requires that you install an AFCI breaker on the circuit.
Very good, you're welcome.
No it won't. The blacks are all hots and by connecting the red to them the receptacles will not be split switched. By connecting the new black where the red was will now switch you lights.
Anytime, you're welcome.