I guess the fact that the new runway isn't parallel to the old one is why it has restricted use. According to the Spanish AIP, no departures on southeasterlies and no arrivals on northwesterlies. In other words, all arrivals and departures will be overland (houses) although that doesn't explain why they appear to have an ILS on both ends.
To be honest, they would have been better sticking with one runway and sending staff to Gatwick to see how it is done!