Your pictures are a little confusing. It looks like the silver bullet female connector is on the tow vehicle and the male connector is on the trailer. Maybe that is not the case but if it is - it is backwards from the norm but shouldn't matter as far as your problem.
Ideally the plugs should be wired like this diagram. Notice that the electric brake controller (blue wire) is separate from the turn signals (yellow and green,) The yellow and green wire will also provide your brake light function after installing the converter. After wiring the converter to the tow vehicle lamps (behind the connector) cut off the 4 way plug and wire the yellow, green, brown, and white wires into the 7 way plug as per the diagram. Then make sure that your trailer side plug is wired to match the tow vehicle side plug.
If your husband is going to the trailer place tomorrow have him take the trailer and the tow vehicle. If the trailer is wired properly they could have it fixed as fast as they could explain it. Maybe you or someone could follow him since he'll not have lights.
When I was a kid an old Italilan guy on my street was rear ended while pulling into his drive way. He had an old car and hand signals were still common. The policeman asked if he had signaled before stopping and the old gentleman replied, "He no seeuh my car, he notta gonna seeuh my arm."
I hope your husbands "headache" gets better so you all can take it camping. Roger