They have breached the terms of your agreement. You must tell your bank or card company to refund the money as you are in dispute.
What VWFS have done is paid a speculative invoice from an unregulated private parking company. No "fine", "penalty" of "offence" has happened.
All they had to do was follow the advice on the Notice to Keeper (NtK) they received and transfer liability to you, the Hirer, after which the PPC would have issued a Notice to Hirer (NtH) and you could have appealed it and easily won because the PPC will have failed to fully comply with all the requirements of PoFA and so, only the driver would have been liable. As the Hirer, you could have simply declined to identify the driver as there is no legal obligation to so so to an unregulated private parking company.
If your bank/card company do not chargeback the funds to your account, you will have to sue VWFS for the money.
