Yep, train travel in the UK is more expensive than driving under any circumstances by at least a factor of two or three other than when commuting into London, where parking charges make the economics work.

You don’t include the health cost of pollution and the cost of accidents: healthcare and loss of life make driving far more expensive. That cost is not paid for by the drivers at the moment.

I'll give you the health costs and climate costs but the costs of accidents are paid by drivers through their insurance premiums.