Yeah, the failure people get with LED lights is when the voltage on the line with brake lights off is not 0 or VERY close to 0. If the cruise sets, that's not your problem.
The issue is that the front lever works but not the back. There's not an electrical issue with the connection because the front lever works. The only thing I can see causing this is no brake lights from the rear pedal.
The switches are in parallel. They have 12 volts from the signalling fuse on one side, and the brake light bulbs on the other side, with ground beyond the brake light bulb. They are not separate circuits,the 12V wire on one side of the brake light is the same wire, and the switched wire on the other side of the switches, going to the brake lights, is the same wire.
The only way the front can work the disengage and the rear not, is for the rear to not light the brake lights.
I do know that on my bike, I can get a very slight rear brake action BEFORE the brake lights illuminate. If using the rear only, I have to give it a firmer push to actually get brake lights. It shouldn't be that way, but it is. Since I primarily brake with the front, i don't really care. And I CAN disengage my AVCC with the rear, but not just by tapping the lever, I have to actually get some braking action on. At the front, a small tap is enough for that switch.
And the above post is incorrect. The AVCC connects to BOTH sides of the brake light switch. It gets its 12 volts from the hot side of the switch through its red wire (although some people connect the red wire elsewhere, to any switched 12V wire, which is fine, but putting it on the hot side of the brake light circuit ensures that the cruise won't engage if your brake light circuit is dead for some reason.) The purple wire is looking for non-zero volts to disengage.
From the AVCC manual: