No, only the switch and 6 games (without cover)

We don't know the external dimensions and even the manufacturer doesn't declare them. But according to the pictures it's a little bit bigger than the Switch itself. The case is not that soft and not that hard, it's something in between. It shouldn't be a problem if you put it in a bag with books and a laptop.

Yes, we use it with the Switch Oled and it works very well.