Civil courts don't handle criminal matters. A County Court Judgment (in an English court) or the Scottish equivalent (a Decree) is simply a ruling from the court that the debt must be paid. If it's left unpaid the creditor can then go back to the court to seek some form of enforcement action. No crime has been committed, so no criminal record can be created (or added to).
The borderline between criminal and civil matters can sometimes be a narrow one. For example, if I fill my car up with petrol and drive off without paying, I've committed a crime. However if, after filling the tank, I find that I've left my wallet at home and (after providing him with evidence of my name and address) the owner of the filling station agrees that I can pay him later, then (even if I don't pay later) the police can't get involved - it's entirely a civil matter.