PoFA has nothing to do with whether the PCN is valid. PoFA is all about being to transfer liability from the
unknown driver to the
known Keeper.
If a PPC decides not to rely on PoFA, then only the driver can be liable. The only way they can know who the driver is, is if the Keeper blabs it to them, intentionally or otherwise.
If the PPC wants the ability to transfer the liability from the
unknown driver to the
known keeper, then they have to comply with all the requirements of PoFA, of which the date of issuing the NtK, is only one element.
So, in your case, which PPC? Double check that the "first one" that you are looking at is not a "Reminder" notice. Its is only a requirement of PoFA that the initial NtK complies with all the requirements. If you are looking at a ParkingEye NtK, they will have the PoFA notice on the back but on the reminder, it is not there.
So, if you want advice on how to proceed with both PCNs, pease read this thread and then show us the PCNs you have received.
READ THIS FIRST - Private Parking Charges Forum guide