As regards PCN 1, you've made reps so all you can do is to wait for their reply.
As regards PCN 2, you now have a Charge Certificate which you cannot appeal. Your only options are to pay or wait for the next notice which is an Order for Recovery. The following would apply:
Where an Order for Recovery has been made, liability for the penalty can then only be challenged in the following circumstances:
You did not receive the Penalty Charge Notice in question; or
You made representations to the Enforcement Authority concerned but did not receive a Notice of Rejection from that authority; or
You appealed to the adjudicator against the rejection by the Enforcement Authority of your representations but had no response to the appeal.
If, and only if, one of these applies, you may make a statutory declaration.
The completed statutory declaration should be returned to the traffic enforcement centre within 21 days beginning with the date of service of the Order for Recovery, although there are provisions for the court to allow longer.
A statutory declaration may only be made by the person against whom an Order for Recovery has been made.According to you, you did not receive the original PCN, therefore you would submit the statutory declaration to this effect.
I suggest you come back here on this one in 2 weeks.
The process is set explained here:
Where a Enforcement Authority believes that a moving traffic contravention has occurred, it may serve a Penalty Charge Notice on the person appearing to them to be the owner of the vehicle. This is...