Supernova Dyno Lights Confusion

[Lovetoclimb]

Many months ago I bought a set of NIB lights here, and only recently installed them on the bike with a dyno wheel. The front works great but despite check and re-checking the rear, I get nothing. I am about to buy a new rear as that is the cheaper component to verify as bad, but before I do, I’m wondering if I wasn’t sold a front and rear light for a 12V system instead of the 6V that my front wheel dyno is for...

On my front light the only info I can find is a sine wave and K730 engraved.

On the rear light I have a sine wave and K937 along with what seems to be a part number: TS28S 00081

I’m curious if I was just sold a bad light out of the box or if something was mixed up in the packaging? Anyone familiar with the Supernova stuff please weigh in...

(Edit - SP hub)

Hoping I can find a friend with the same lights and quick disconnects so I can troubleshoot.