You need the upgrade first. Even with it, the effect is subtle but you will move the platform after "entering" the console by pressing E. Once you enter, you cannot walk around with WASD until you leave by pressing E again.
There are invisible walls to prevent moving in certain directions. Rubbing against one might be the issue. You can show them in the pause menu. What browser are you using?
Maybe, but only the console has collisions. You can't use the platform while there are enemies, maybe one spawned out of bounds. If killing all enemies through the menu does not work, maybe downloading will?