I'm looking to fly ORD-NRT in June 2014 (2 tickets). Specifically on June 6th or 7th. I would rather fly on Japan Airlines First than American First (actually anything Japan over American). I know there isn't anything showing up that far on the BA site so I decided to look back in the month of May and April 2014. The award space seems very random. Tuesdays seem to have availability on most Tuesdays in April, but I can really seem to find a pattern other than that. Anybody have any insight on this?