A couple modifications to add some additional protection.

i like your bike! mind sharing the make and model?

I have long hair and always have a few pony tail holders on me. That is what I use for my transit system.

The way to prevent rolling is to hold down a brake lever

You've reminded me that I need to do something similar but for my e-scooter. When folded up, it will try to roll away as the bus yaws or pitches. But my plan is to drill a hole through the bottom of brake lever housing, so I can push a bolt up that will jam the brake lever whilst engaged. And since the bolt is facing downward, it should fall out when I squeeze the brake, quickly putting the scooter back into action.

UK here and trains have no standardised bike storage options. Going to the office the Cross country train expect you to hang the bike from its front wheel in a cabinet narrower than my handle bars. The first GWR train have no dedicated space but plenty of space by the door to wedge it in and gotta move it each time the platform side changes. The second GWR train has an open space the bike can lean against the wall in.

Yes, the commute is awful.