Rob,
Jamaicajeanne realized I am confused. I had no idea the travel authorization expires. The test was the only thing that I figured had a expiring time limit on it.
It does seem you registered too early, try registering again. I am surprised it didn't catch it, today would be the first day you could apply - here are the guidelines on the VisitJamaica website:
When can I apply for it? Three days before arrival, you can apply. The Jamaican health regulations require that the Travel Authorization is issued a maximum of 72 hours before arrival in Jamaica. A response will be generated within 10 minutes of submission of the application.