It's the ground voltage differences with the
external equipment that will introduce noise. PCs are usually terrible for it due to the high and rapidly changing internal PSU currents, without counting "ground loops".
Problems are pretty much inevitable as soon as you start connecting separately, AC -powered equipment to a common device.
I did mean true differential inputs - use the positive input (V2) as the ground at each source, with screened cable and the screen only connected at the amp end, or isolated (non grounded / plastic body, if you are using a metal case) input connectors with the screen from the external source connected to positive (V2) on both channels.
You can add eg. 1K from positive V2 in to circuit ground at the amp input, to stop if being completely floating, if you wish.
The other option is to use inline stereo isolating transformers in the external wiring, to break the grounds - but it seems a waste to do that when you only need a could of extra 47K resistors with the circuit you have!
(I'd probably use 10K at all four points).