MAX7219/7221 and DAC noise

The MAX's multiplex at 800 Hz, you are likely picking that up on the audio.
Along with perhaps control line switching.
Add ferrite beads on the power lines for the MAX7219 and the DAC.
Shield your audio lines, and ground them at one end. Especially from the DAC to whatever audio amp you have.
Seperate the digital and analog lines as much as you can.