- trains go in tunnels or tracks are between houses. When train control systems were defined in the 1990's, there was no way to make them sensitive enough to record GPS positions. Instead there is a different location system based on so-called balises with a fixed position on the tracks. Every time a train crosses one, it knows where it is.
- Planes go in 3 dimensions, trains in one. If ATC wants to ensure two planes do not collide, they will assign them different headings and/or heights. Precise position isn't that important. Trains cannot avoid each other, that's why they move in blocks.
And yes, they do signal their position back to the control center, it's just a different protocol