How did you pull those codes? They seem to be coming from a code reader. Your car has the diagnose box where you can pull the codes without any additional device.

I personaly do not think that the A/C compressor is the main problem, the engine sound is not "healthy"...
Read the codes from the Diagnose box, write them down, clear them, then let the engine run for a little while and then read again. The remaining are the "current" ones. Post them here then

Regards
Cristian