It sounds as though you did not receive notice of the claim against you, did not acknowledge it or defend it and so a CCJ was issued in default. You must contest this and apply for a set aside asap.
Why haven't you update your V5C yet, although it wouldn't have mattered as at the time of the event, you had not yet moved? By not updating your V5C, you run the risk of fine of put o £1,000 from the DVLA, so get that done now. You can do it online.
Didn't you set up a mail redirect service from Royal Mail? If not, why not?
The first thing you must do is, at about 0830 in the morning, if you want to avoid a very lengthy wait on the phone, call the CNBC and, whilst on the phone tell them to email you the Particulars of Claim (PoC) and make a note of the claimant and if they used one, the name of the solicitor too. Once you have that information, you will be in a position to apply for a set aside.
Show us the PoC once you have them with the name of the claimant and their solicitor, if they used one. We can then advise on how to go about the set aside. If you leave it too late, you will be in a world of financial pain for the next 6 years.