This is such a good idea; I loved it. The timer was annoying, but hey - that was basically the theme embedded in a FakeOS narrative puzzle game. :)
I loved the atmosphere a lot, and the puzzles were great. I eventually got stuck and had no idea where to proceed even though I have probably all the pieces of the puzzle; I just don't know how to piece them together, or where to enter a code, etc...
Maybe the only pain point was to reenter the login credentials each time - saving the last entered input and just needing the user to click Login would've made the restart flow a lot more fluid.
A well-rounded entry overall