Okay, I think what you did with Teake was brilliant. He is the obvious target, and for precisely the reason you said, which had never occurred to me.
I don't know the 1930s USA legal system well, and I probably tend more towards "tv law" in general, it being a rare exception when I ask a lawyer friend who has spare time what the likely situation would be. Also, you want the campaign to move forward, and I rather like encouraging the kind of roleplay where the players deliberately have their PCs screw up for reasons that make sense -- although it's a fine line between that and the point where everyone's suspension of disbelief snaps if the authorities do let the PCs go / anyone trusts them again / their patron still wants anything to do with them. You want a mechanism for introducing new PCs, but... yeah, it's often best if the same PCs are there throughout, progressively more battered in mind and body.
I think Janet and the ex-bureau contact can cover for the PCs -- this time. But Janet probably wants to know what is going on, and both probably want to caution the PCs that they can only do so much and have now done most, if not all, of it. Does that make sense?