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The one thing common with the two codes is the Remote Climate Control module.

If the compressor works when it is cool then the clutch on the compressor is bad or needs the shim removed.
When mine went bad the symptom was...
If I shut the AC off while traveling at highway speeds it would not come back on until I slowed the engine down to idle or shut the engine off and restarted. I ended up removing the shim and never had any more problems.
Then you are either low on freon or the low pressure switch is bad.
Yes, it is also called the AC cycling switch.
The switch with 4 wires is the High Pressure switch. It turns the compressor off when the pressure gets too high and also turns on the hi speed fans.
Follow the white corrugated tube. It's at the end of it.
Take out the "football" control. It connects to it.