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If you have a rack you may just about manage but they're reasonably padded so don't fold that small.
I think you'll struggle to find anything that protects the bike, lets you pack in some luggage and you can also ride to/from the station.
There's this one which packs into a rucksack https://www.amazon.co.uk/RockBros-Travel-Folding-Bicycle-Transport/dp/B072X61N9B but not sure what you'd do with the rest of your luggage or how protective it is.
interesting those first 2 bags .. can they be hauled on the bike while riding? I have a couple of miles ride from home to station?
Where can I buy those in the UK?
The hard version wont be ideal in my case.