You said you have 15 ohms between the end of your interconnect ground and the pot ground.
If so, your circuit look slike this (a little rough):
(ic plug) ---------> (ic plug) --> input jack------> board pad ----> board ground plane -----> pot ground pin.
The dashes are wire.
Something in there is not right. Easiest thing- swap interconnects and repeat measurement. If the problem stays in the same channel, it is not the interconnect.
Now, start measuring resistance. Stick a probe in the jack ground and the other to the pot ground. Still 15 ohms? Stick the probe on the board pad and pot ground. This gets tricky though, because you can get different resistance measurements on different parts of a pad, or get a good measurement on a cold soldered joint because you happened to stick you probe on a "good" place. Better to measure from leads on the top of the board to see how resistance runs up through the pad into the wire/part soldered to the pad. This method gives you an education and maybe highlight bad joints so you can recognize them in the future.
It would be easier though, to just reflow all the affected joints: 1) wire to input jack ground 2) Wire to input ground pad on board 3) pot ground pin. When you get done, remeasure.
If you swap cables and eliminate the cable, and reflow the joints and you still get 15 ohms and buzz, post back.