Would I be allowed to bring in both the phone booth and shield dispurter in to a game, or are they both consider special objects? Or are blue odject the ones considered special objects?

If an object has a special effect, then it is a special object. A special object can be light, heavy, or Immobile.

You should be allowed to play both of them (the phone booth and shield disrupter) cause you are allowed to use 1 light object, 1 heavy object, and 1 light/heavy/immobile object.

So in this case you would be using 2 light objects (meaning your other object has to be a heavy).