Why didn't you say this was in Scotland? Are you also a Scottish resident?
There is no Keeper liability in Scotland, for now. Only fools and their money pay a parking charge in Scotland!
No company registered in England is going to sue you in the Scottish courts. You have been played for a mug. Just stop digging holes for yourself and revealing how low you are hanging off the gullible tree.
Jeez, even if this were not in Scotland and it actually went to court in England, you would win. But it is in Scotland and these jokers will not sue you in a Scottish court for a piddling couple of hundred pounds because it would cost them much more than that and they cannot recover any costs in the Scottish courts for such a low sum.
Ignore everything you receive from now on. Stop blabbing to any of them about how sorry you are and that you've paid double when you didn't have to pay a penny in the first place.
Never, ever, ever communicate with useless debt collector anywhere in the UK. They are powerless to actually do anything except to try and scare the low hanging fruit on the gullible tree into paying out of ignorance and fear.
Also for future reference, never admit liability as the driver, especially in Scotland where PoFA does not apply. You only ever refer to the driver in the third person. No "I did this or that". Only "the driver did this or that". These unregulated private parking companies have no idea who the driver is unless you blab it to them, inadvertently of otherwise.
As soon as you let them know that you think you have received a "fine", they know they have a mug, ripe for the picking. These private parking companies cannot "fine" anyone. They are not an authority of any sort. All you received was a Parking Charge Notice (PCN) which is nothing but a speculative invoice for an alleged breach of contract by the driver.
Ignore everything from now on. If BW Legal or any other bulk litigation company is so incompetent as to try and issue you a court claim in the English county court system for either a breach of contract in Scotland or to a Scottish resident, they would be slapped down so hard. It just sin't going to happen. Stop panicking about it. Get on with your life and know that in future, if you ever get another PCN in Scotland, that you can simply ignore everything you receive from the parking company and especially any useless and powerless debt collector, at least until they enact the Transport (Scotland) Act 2019, there is no Keeper liability north of the border.
Personally, I would send a letter to each company that has contacted you simply telling them to refer to the answer given in Arkell v Pressdram (1971).