Mine would turn on the highbeams when it rained. I swapped it with the lowbeam relay and the problem went away.
Seriously though, if you used some dielectric grease on the connectors it would keep the water out of the connections. Inspect the relays and make sure that the cases are weathertight, replacing if needed. The contacts inside the relay are small and it wouldnt take much water to cross them.
The headlamp recall is on the switch inside the car, it wouldnt cause this problem.
