I tried swapping the cables around by putting the cables from the burners that would light onto the ones that didn't light. When I did that the problem would move. So this is how i determined that the issue was with this module and not the burners or cables.
Once this new module arrived it was simple to disconnect the old one and put the cables back on the new one. I tested it (holding by breath!) and then all of the burners started. HOORAY!