Question: Why did Mitch tell his firm about being contacted by the FBI in D.C.? What purpose does it serve him? It probably only attracted more attention to him.
Answer: He knew the Firm was watching him and would probably learn about the meeting. To head off suspicion that he may be cooperating with the FBI, he voluntarily tells his superiors about it, all while acting naive and showing he has nothing to hide. He may also be displaying a (false) willingness to be drawn into any nefarious Firm activities, allowing him to learn more about it.
Plot hole: In Cayman, a drugged Avery passes out on the bed, fully clothed. Abby is in the kitchen, carrying the Mafia files. The bedroom is in the background, only now Avery is under the covers and undressed. He was drugged and too heavy for Abby to move and undress alone and have enough time to also transport files, copy them, and return everything to the bungalow before Avery awoke. Avery would also know he passed out atop the bed and not under the covers.
Suggested correction: When he falls, his head is about 3 feet from the pillow, where it is later in the background. Abby would only need to drag him up the bed. Pretty easy even for someone with Abby's build. Avery's shirt is fully unbuttoned when he falls backwards onto the bed, so removing it would be very simple. Then all she needed to do was drag the cover out from under him and put it over. She could probably do all that in 2 minutes. Also, Avery wouldn't have been suspicious, only confused.
Abby could not possibly have done all that in "2 minutes." A small woman moving and undressing a 180 lb. unconscious man is not an easy task and impossible in that short amount of time. Abby had a limited time to move, copy, and return the files.
The gender of the people involved is irrelevant. It isn't known that Abby removes Avery's trousers. All we know is that she removes his already unbuttoned shirt, pulls him 3 ft up the bed and puts a sheet over him. My partner and I, who weighs significantly more than I, have just simulated the scene. I was able to move them up the bed, remove their shirt and put a sheet over them in just over 2 minutes. Abby then has an unknown number of hours to deal with the files, which she did.
Answer: He's not sure if he believes the FBI, and if they're telling the truth he doesn't want the Mafia discovering he'd been talking to law enforcement behind their back. This way he can avoid taking sides just yet.
Brian Katcher
I think he did it because he wasn't sure if he was being watched.