7:52 catching up with all the people - vetting everyone. realises charlie is probably crazy. looks out for quinn as per olivia's instructions. makes it sound professional but is entirely personal.
37:44 he knocks at her door. of course he could break in but he respects their boundaries. he hasn't seen her since he said g'bye. now they have the conversation about b6-13. he tries to explain to her, that on the other side of the desk, he sees where he can make a difference. he tries to articulate it into words but sees that's not what she wants; knows he could well-fail at it too. so he just tells her he could do better.
she asks for quinn. he instantly replies that he doesn't have her. he knows that he's already spoken to charlie - he knows his orders will be followed.
he tries to tell he the difference he will make - instead of her ruthless father. he could get maya back, and bring her to justice fairly. he's still idealistic. she snaps about how he'll change, about the monster he'll become because they both know what eli is like now. he tries to impress upon her how he couldn't deny fitz. tells her he serves at f. pleasure. she retorts "don't we all." he's exasperated at her lack of ability to see how he had no choice...or rather, the good that could be done in this position.
she vents about the responsibility of serving f. and the republic. he knows her well enough to know she's not just talking about his Command. She lets slip about vermont. She realises she can ask him to help her through this. propositions him. starts a fake relationship. he says yes - not because he gives a damn about f. or serving the republic in that respect, but because he would do and give anything for olivia.