It looks like the PCB does not have a ground plane?? If that is the case, the AMP & BT connectors do not appear to have their grounds linked to the rest of the circuit grounds?
That's going to cause a serious noise problem, as the amp inputs are effectively floating.
For info, the 4066 only works really well near mid-supply. For best operation with audio, the signals should all be capacitor coupled, with each signal having a high value resistor (eg. 47K or 100K) to mid supply voltage as the 4066 side of the cap.
You can eg. use two 1K resistors in series across the supply, with a cap from the mid point to ground, to give the mid-supply bias.
That also pretty much eliminates any switching clicks or thumps, as there are no DC level changes as the switches operate.