Plugs and wires won't help if the issue is the ballast, pickup, or ecm (and heat will often make electronics quit until they cool off).
Same thing: try to borrow a different ecu, or start with that first if you try to replace it. They're tough to test, otherwise I'd suggest that first...
If that doesn't make a difference, return it (or put it in the glove box as a spare) and then try the pickup in the distributor, or at least check and set the gap to the reluctor.