The buzz is one thing......... the other thing might be a phase reversal in one cab. That may make the crossover sound weird, with a "hole" right at crossover.
if you put both cabs side by side, and get your ears level with them, so that one cab is mostly in left ear, and the other mostly in your right ear.....then play softly.
if they are correctly phased, the sound will seem to come from in front of you.
If NOT, the sound will seem to be split to the two sides. it's very hard to describe, but that is how it always sounds to me.
As for the buzz, naturally the right cable works better. But have you moved the cables around? They can pick up hum from equipment. A phase problem can also cause buzz to be made louder, but it won't CAUSE buzz.
or, just use signal cable..... much much better than before, likely. But surprising that only one does it.
The cables can also be bad. Swap low and high cables, see if the buzz follows the cable or the channel.
Jacks can have a grounding problem, like being loose/bad solder.
Once you figure it isn't the amp, go get some decent patch cables.