The CAA cannot punish, that is the role of the courts. This chap has been found guilty in court and punished. Magistrates cannot punish as it takes them on the day, the range of punishments is prescribed. To quote Gilbert and Sullivan: "Let the punishment fit the crime".
Should this individual continue to act in the way he did then the CAA does have a means to act directly, the "fitness to hold the licence" legislation with regard only to his UK licence. He told the court that he now holds a UK licence. Regarding the FAA licence then the facts can be reported to them by the CAA. It is then up to the FAA to take action as it see fit.