I think they keep playing up the possibility that she could take the job in D.C. to maintain the mystery, suspense and anticipation for the season 6 premiere episode. Because from their dialogue in the Finale it’s seems too obvious that Beckett was really looking for “more” in the relationship more than the job. She got “more” and then some – a life time commitment. I still say she says “yes” but not yet. I don’t think she’ll try the D.C. job and change her mind and return to the 12th. If that does happen, for me, it won’t be believable. But, although I love the show, going back through the past few seasons, I still find many scenes that are not very believable.