I am looking at developing a website sort of like ones that NY-area commuter railroads have, showing train departure times and tracks. One major transit hub near me has no central location for this info (either online or in the hub itself), and it makes commuting through the hub a real hassle.
My website would by much much simpler, however; it would just list the route, list of departure times and tracks (as the tracks are set in advance at my hub and don't change except when timetables are revised, a few times a year).
I can only help you with question 1. Facts are not protected by copyright. When and where a train arrives would most likely be considered a fact. I wouldn't worry about it. That said, I remember some time back when a city (or the company they outsourced to) tried to stop an app developer from doing basically the same thing. I couldn't find the article, though.