I called the TEC this morning, and they pretty much confirmed what you have said, I need to complete both the PE2 and PE3 forms, get them countersigned by a solicitor and email them to the TEC, one email per PCN.
I have now done this, they are saying that their turnaround time is 10 working days, and then the council would take another working day to notify the collection agency to put the bailiffs on hold pending their investigation. The deadline for payment of the enforcement order is 9th February, so it's tight, but assuming that even if the payment date of 9th February is missed, it will take some time before the bailiff comes knocking.
Regarding the address, I don't think its that that's incorrect, something is going wrong within their processing.
I initially received two PCNs which I paid, these were for a contravention after these ones discussed here
I then received Charge Certificates for the four that were missing PCNs, so they had the correct address for those.
Then there was the Notice of Enforcement for all four, which arrived at the correct address.
So, I am missing 4 x PCNs and 4 x OfRs, that's pretty strange.