On a mac laptop I have it gives me a message that its drawing too much power.
This ought to mean that you have a short circuit power to ground on the left half somewhere,
or perhaps in the cable. Is it a 4 conductor cable? (TRRS v TRS i.e. Tip Ring Ring Shield = 4 conductor
while TRS = 3 conductor. They look very similar, but would cause severe trouble like this if
you used the wrong one.)
Checking for continuity, and lack of short circuits amongst the 4 signals on the TRRS
is all that you need in order to suss out whether or not it is the problem.
What should the proper continuity read out be from pin to pin?
Using the multimeter you should turn on the continuity beep mode, or just measure resistance.
You should measure just the cable from end to end on each of the 4 conductors to make certain
that there is just a few ohms (say less that 5) through the cable on one conductor, and that from
conductor to conductor you always have much more than 100,000 Ohms.
Then do the same thing when the cable is connected to both halves.