Littlefinger is doing what he does best. Weaseling around and trying to drive a wedge between Sansa and Arya. I think he believes this is his last chance to get Sansa's ear again. I believe they will eventually figure it out after some tense moments and Littlefinger's run will come to an end. Good learning experience for Arya, finding out she's not the sneakiest little person in Westeros.
The jaunt north of the wall is foolish and Tyrion will once again be played by his sister. She basically said as much to Jaime. Love her or hate her, Cersei is still playing the game better than anyone. Even if they are successful in capturing a wight, do they really think Cersei gives a rip? Half of the group are destined to die in this little adventure. Good way to kill off a few characters I suppose. Question is who? I doubt it is Gendry. Why bring him back just to kill him off an episode later. Although, I was surprised to see Dickon meet the business end of dragonfire so quickly. But really, are we going to be blessed with an episode of them just dragging a wight around westoros to get everyone to believe them?
Speaking of Cersei. If she has said baby, does that mean the prophecy will not entirely come true? I'm guessing something happens before that baby pops out.
And on Gendry, I'm still puzzled at what part he has to play. I still think he might eventually be a love interest for Arya if she can ever get out of beast-mode.
Oh Sam. Thanks Gilly for the little tidbit. Hopefully that was one of the books you brought with you as I'm sure it will be important later. Alas, I don't think Jon finds out he is a Targaryan this season. Next year I suppose. Will the Northern Lords turn on him when he is discovered to be half Targ, and now apparently non-bastard Targ? I still think Howland Reed has a story to tell, but with Bran pissing off Meera, maybe not any more.
And what about the Maester's inaction? If all-seeing Bran really wanted to get their attention, why not send some cryptic message outlining private details of all of them, basically showing them, I can see what you do, now do you believe me?