Unfortunately, a search with BA does not find all IBERIA award flights (e.g. direct flights from JFK to BCN).
It would be really great if you could add Iberia.
It turns out that the IBERIA award flights that are not found by BA are operated by Level or Vueling. (Iberia’s own award search machine does not say that these flights are operated by Level or Vueling.)
It would still be great to be able use award.flights to find all IBERIA award flights.