To measure for imbalance, you'll need a source that can play a 60Hz signal into your Moreplay. The most convenient sources for this are things like phones/tablets with 1/8" headphone jacks, then you can use a signal generator app and an 1/8" to RCA adapter cable to shoot the signal in.
You'll also need an multimeter that can measure small AC voltages. For a meter that's not autoranging, this will mean seeing something like a 2V AC scale. For an auto meter, just pop into the manual to be sure that it can measure fractions of an AC volt.
With the 60Hz playing into the Moreplay inputs and your meter in hand, you can start (with the Moreplay off) by measuring the AC voltage between ground and each lug on the input selector.