About unlocking the inner view button, I would only unlock it on stations where you have a lingerie obligation. And you're right, it is difficult to tell the user that the button is unlocked. So maybe leave it like it is until you have a good idea how to solve this.
Sure I know where the overpowered stuff is :-) Problem is, on hard mode, you won't reach it fast enough. But if hard mode means "see how far you can go", this is okay. Nevertheless, I vote for increasing the mission chance to 70%. The reason is, with 60% you often get only one mission. You cannot afford to take no mission in the early game, so there is not much choice. With 70%, there will be more decision making without reducing the difficulty too much, which would be more fun to play.
I'm on my second run, this time on medium. After day 120, the morale pressure is still very high, but I have already unlocked the good stuff and can easily afford the breaks I need. However, I watch morale carefully, and do not ask another officer for a mission if I already have a good option, in order to not risk morale loss. In other words, morale currently feels well balanced in mid game.
I just had the idea that I should try to beat the game on hard again, with carefully selecting my bonuses (reroll until I got the desired bonuses). So far, I never rerolled, but with the right bonuses, I might survive long enough to unlock high value missions.