Is refilling the refrigerant (A/C service)considered a part of replacing

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the A/C compressor flat rate time? Had a $380 labor quote, when picked car up, had ballooned to $630 without the shop contacting about any extras, A/C still not working (probably the blend door), didn't replace serpentine belt as requested. Also, trans started leaking when I got car back. Should I burn shop to the ground, or send a lawyer's kid to Harvard?