As jfollows mentioned in one of the earlier messages, the road is almost certainly within the airport boundaries, which is covered by byelaws, so keeper liability does not apply.
I would therefore appeal the two PCN separately citing that. If you want a ready made template letter, just download it from my website which offers a free service:
www.ninjapcn.co.ukJust search for the postcode written in the PCN (I believe LS19 7TU) and you will be prompted to download a template bundle. Good luck!