I like the tutorial idea, but... a school day implies that the character is young enough/lawful enough to attend, and your situation implied a parent (though an orphan could have a friend or robot sending him/her on their way to school).
Otherwise, that does sound like it would cover most of what you need. The career day thing is great because you can skip booths if you want. Of course, you should always have the option to skip school that day, and go over to the Cavalier Club first.
Yeah, I can agree the tutorial ought to cover the following:
Movement (particularly in space). Maybe a flying and a non-flying mecha on the ground. In fact, the simulator should be an obstacle course. You could cover every skill needed that way.. go fast here, skim over the water, can you spot the stealthed target dummies? Fire at them! Jump to get over that obstacle! switch to flight mode. This is how you would move in space...
Finding people and places using the phone, the [where are you?] option, and 'l'ooking for them. Getting rumors, and recalling them.
personal scale combat training, and the importance of gear or ranged weapons or both. Actually, this would be a good time to also work in "death," injury and hospitalization. Maybe you have a martial arts class, and spar with two students: one is weak enough to beat, the other is a football player and a bully and knocks you out. You can wake up in the nurse's office.
Food. at lunch, you should have it explained to you why more interesting or exotic foods are better, and why a fresh steak is better than a military ration, regardless of how both do the same thing.
Cyberware. Yeah, you aren't going to get any quite yet, but it might not be bad to learn about it. How to tell what you need, a reminder that you can't ever go back once you have it. A bit about trauma.
The whole game doesn't need to be covered, though everything you might do in the game could fit in if you wanted. I guess the most important is things that otherwise aren't explained, like food. When I started, I would stock up on cheap noodle cups, and eat when told I was hungry. It took a while to find out that my stats wouldn't be red all the time if once in a while I treated myself to a steak.
