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Your 134A (ac juice) is low. you must have a small leak in the system. Ac has a shut off safety switch on the low side of the system. When your system goes too low (pressure) it shuts off the AC pump to protect itself, since the 134A also carries the oil to lube the pump. When the system is low at normal rpm the pump works and cools but at higher rpm the pump draws the pressure below the safe mark and the pressure switch cuts off power to the AC compressor pump. No pump, no cold. Fix the small leak, top her off and you will be fine.
The P0113 code is unrelated to your no start. Hi intake temp code is often the wires on the IAT (intake air temperature)sensor located on the intake snorkel are broken off, inside the plug. That's the good news the bad news is your car will still run well without it, even connected. I would say check for spark, fuel, compression, in that order. Old school stuff.