There is much more to adequate bathroom lighting than just the right fixture. See our article on adequate lighting in Bathroom Mistakes That Owners Regret. That way, I don't have to repeat the extensive advice here.

Nice job on the room. Love the tin ceiling and in-wall storage. For the apparent period of your house, I suggest school house lights for the main room (ambient) lighting. They are easy to keep clean, consistent with the architectural period, and relatively inexpensive.,

Don't forget to install adequate ventilation.