No kidding. I had already explained to the OP that he couldn't/shouldn't reliably use BA.com for SGNJFK at all if the goal was to fly CX. Married segments and overnight connections have rendered segment-by-segment searching on BA.com to be a thing of the past. AA.com does the job just fine. End of story.

Well, not really. I am curious whether a BA agent could marry the same segments as AA.com offers up. But I'm not inclined to call and ask. Unclear why the OP is trying to pursue a BA.com solution, we've already corrected him (and your JL tool recommendation was similarly useful).

Oh well.