Yup I think that was a bit of a plot leap, especially Kruger's team suddenly knowing what they're after. In the previous scene he was basically unemployed and moping around until he suddenly got his job back. My only explanation would be that it's implied Jodie Foster filled them in on the mission details (maybe she transmitted the instructions when the team picked him up).

And yea, Spider shouldn't have been able to see anything but gibberish if it was encrypted. Maybe if we stretch it, we could say the encrypted code had a "header", sort of like an encrypted zip file might have a header telling what it contains.

Overall I was willing to let those 2 points slide because the story was picking up the pace and probably didn't need to downshift into explaining things.

I think the worst stretch was when Kruger basically got his head blown off with a grenade but technology resurrected him with a flawless face lol. But again... things were getting interesting so I let it slide. I enjoyed this flick.