Would malfunctioning of sensors affect the a/c and driveability of my car?

What is your question?

While driving car slows down a/c does not cool - car slows and stops. Had A/C compressor Belt and rt. side cooling fan replaced. Situation is same except I am $ 800.00 down. I still feel the car is overheated, I think the engine coolant sensor,and/or thermostat or IAT is defective