Free Traffic Legal Advice

Hi

So I received a Penalty Charge Notice on my car in a council owned car park in Coleraine. I used the Ringo App ( Should've usedd the Just park app ) and paid for the wrong parking location. Ironically I paid more for the wrong car park as it cost more per hour. Anyway I noticed it's being administered by CPS Ltd in Belfast ( private company who now work for the Dfi government department ) . This got me wondering as its a private firm and not a council warden issuing the ticket, they now issue tickets on the councils behalf which is something I wasn't aware of. I know the rules in Northern Ireland ref not paying a parking charge notice as they have to prove who was driving here as opposed to the rest of the UK etc but this is a Penalty Charge Notice, issued by a private company. I have already appealed and sent receipt for the car park I paid for through Ring go but Car Park Services Ltd turned it down. They said I can further appeal when they send out a Notice to owner. My question I suppose is, Can I use the ' prove who was driving argument ' or am I at the mercy of their appeals process ? Thanks in advance