APG absolutely agree, even if you assume that Harry is pretty busy and obstinate - a detective would surely notice that his mother is quite involved in a lot of things that affect him still...could you find that WOJ?
Kurtin - I agree. Surely there is some lore, or an expert who could help him work out Winter Law. Or Summer Law. Or both.
But really what I think Harry should ask:
1) What is a starborn? He knows he is one and has done zero research on it. Mab, Leah, any faerie, Vadderung, probably the White Council should be able to help put this puzzle together.
2) What is the purpose of the Warden and the history of the role? Whilst off screen, Harry has figured some of it out, we haven't had any exposition on this. And the way Ebenezar talks about it still makes me think there is still more to be revealed.
3). What is beyond the Outer Gates? Who previously defended them? maybe a big no-no for the White Council, but Harry is barely White Council any more. He is involved in bigger issues, as a tool of greater powers. He needs to start talking to Angels, Fae, anyone to get some more information on the Outsiders. Or hell, even summon one.
4) What is the link between the Redeemer and the Outsiders? Skin Game provides a big connection between Christ, the Fae, The Greco-Roman pantheon and the Outsiders. Harry needs to find the point of connection.
5) What is going on with the inbetween with Captain Murphy etc. and who are the bad guys? Carmichael only partially agreed with Harry's statement of Fallen, even though he led him to that answer by pointing out the angel guard. I would be trying to talk to them via ectomancy.
6) What are the origins of the Vamps? Why are they so different yet considered similar? Why are they working together and yet against each other? What is the Outsider connection?
Of course, this will all get answered as it becomes necessary to the plot. So we will have to wait. But if I were Harry, I would slow down on the cases and get to the big questions as a priority. But I am not Harry, and Jim needs to sell books, so wait and see I guess.