Please post-up the PCN, all sides with name and address redacted. If you blank out the reg number and PCN number we can't view or download the video so if you do this, please post-up the video, because it is the sole evidence of the alleged contravention.
Assuming your narrative is the full story, (and I'm not doubting your narrative), 3 months elapsed between contravention and PCN means the PCN has been served out-of-time. The only thing is this, how many keepers are recorded on the V5 ? The only source the council have for name and address is the DVLA record for the vehicle. If your PCN is the second, then 3 months could well have elapsed before the council were able to send out a second PCN, and there was a different name and address on the V5 when the council requested details from the DVLA.