@JKirkChavez - thanks for the additional pictures, I think they gave me the clues to answer all of your questions.
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Cut the zip tie holding the cable going to the DB-15 plug in the bottom picture. Any wire in that cable can be removed from the setup. I think all the small silver color, stranded wires in the zone terminals will be these wires.
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There should be a white wire coming from the rain sensor. I think there is a wire nut where this wire is connected to another wire coming from the field wire. Put the the other wire into the Rachio C terminal (disconnect the wire nut and the white wire from the rain sensor).
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If you want to install the rain sensor here are the instructions:
https://rachio.kustomer.help/en_us/rachio-compatibility-with-irritrol-wireless-rain-sensor-ry_CwL1tP
TLDR: White and one Red to VAC -, the other Red to VAC +, Brown to S1 (and enable Sensor 1 to be a rain sensor in the Racho app).