There are four platforms at a railway station opening sequentially at 5am, 6am, 7am, and 8am respectively. Trains arrive at these platforms one after ...

There are four platforms at a railway station opening sequentially at 5am, 6am, 7am, and 8am respectively. Trains arrive at these platforms one after another with a one-hour gap between arrivals on the same platform. Multiple trains can arrive on a single platform but always with a one-hour interval.

Given the following information:

1. Train M is not the only train arriving on its platform.
2. Train D arrives immediately before train B on the same platform.
3. Train G and train H arrive on the same platform with a one-hour gap.
4. No train arrives after train C, which arrives at 6am on one of the platforms.
5. Train G and train B arrive at the same time, and train B is on platform 1.
6. The train that arrives first at 5am on platform 1 also arrives at 7am on platform 3.
7. Train K arrives on platform 1 before train S arrives on platform 2.
8. Train H arrives on platform 2 at 7am.

Based on the above, which of the following statements is NOT true?

I. Train S is the last to arrive on one of the platforms.
II. Train K arrives after train B on the same platform.
III. Only two trains arrive on more than one platform.