I would second the other posters, you don't really need to integrate a HEI module as the E12-80 transistor ignition does the job quite nicely.
The problem with HEI modules is that only the connectors are standardized, but the output current, dwell management and current control is not. It depends on the manufacturer and type if the HEI module handles dwell on its own, and does current control. A state of the art ignition module has electronic dwell control, and an intelligent current management to feed up to 8A to the coil (standard HEI modules do around 4A).
Regarding your HEI setup, the wiring looks correct but make sure that you have a proper ground connection of the module as it won't work without one (you already mentioned that you will check for this one). You do not need a condenser with a transistor ignition, as there is no mechanical switch (points) for the coil current.
If you have a multimeter, you want to check that there is a small voltage at B and C when you turn the starter. If you can measure a small voltage, then the pickup is ok (if not, remove the HEI module and measure the pickup for a low resistance to make sure it not broken).
Next, remove the B and C wires from the coil and connect a small +12 bulb to it. It should flash with a low frequence as soon as you engage the starter. If the bulb does not flash, the HEI module is most probably broken (but check the ground connection first).
good luck,
Adrian