PART 1.
Yes! You can do this very easily, but it will cost you a few quid.
Firstly, you will need to find out the name of the court where the cases were heard - and get the case numbers.
As you do this, you will need to open dialogue with the people who took you to court. Ask them to send you detail of the debt (even if you already have this) and ask them if they are willing to offer you a 'full and final settlement' figure.
Don't worry if they ask for the full whack, just make the request.
Next stage is to go to a solicitor and swear an affadavit that you did no receive the summonses (and I'm sure you can't tremember receiving these, eh?). Go to a Commissioner for Oaths, as they are generally more credible.
Now you need to send these affadavits to the court and ask for the original judgement to be set aside so you can prepare a defence.
The ccj will be set aside and you can obtain proof of this.
This should be sent to the Credit Reference Agencies asap. Make sure they have received them and make sure that they remove the entries.
Now then, back to the people who took you to court.
As the cases are live again, you will need to settle the amounts with them - or they will simply refer back to the court and you're back to square one. But negotiate the deal with them - don't forget that going back to court will probably cost them money too, so factor that into the equation.
Close the deal and get them to give you letters confirming "full and final settlement" and that no further action will be taken.
These need to be dated after the affadavit and before the new hearing.
Then submit these to the court in advance of the hearing, or at the hearing and say that in the wake of realising the problem you have settled with the plaintiff.