I cannot go past the Bungle Security Door #1, because I cannot get the Bungle Keycard #1

You should get it after you done all the tasks. Which task do you have issues with ? Getting exhibits from 3 themes ? 

If so, just choose any of the other places you've unlocked (like prehistoric or botany) and get an exhibit from there.

If it's something else, could you give some more details where you are stuck ?