@stamfordman, I'm as confused as you.
The Res Permit on show expired in Jan. 2025. It's in the vehicle in question, therefore it's reasonable to conclude that the OP had knowledge of and paid the prevailing permit tariff before 2025.
But they're saying here that they didn't buy a Res Permit until June 2025.
Anyway, OP your whole argument regarding the issue of 2 PCNs seems to be that you had tried to acquire a Res Permit soon after purchasing the car but were thwarted because of issues regarding the applicable tariff. As pointed out by others, you had options available to you to park legally which did not involve holding a permanent res permit, therefore even if correct it would not be a defence which would succeed at adjudication.
But as you held one in Jan. 2025, implicitly 2024, for exactly the same vehicle with the same emissions -therefore long before these PCNs- this rather undermines your argument.
I can't square the circle of conflicting evidence without your input.
And we need to see photos of the traffic signs where you park.