skytrekker - I would be a little more blunt than Scottie. Regardless of your past experience, you do not have a JAR licence and are therefore not qualified to fly for easyJet or indeed any other European airline. At this moment you are therefore unemployable in the European airline industry. Your application will not be processed without that licence. There are no shortcuts and easyJet are unlikely to enter into discussion with you on the subject.
For what it is worth, I back easyJet 100% on this, because they simply do not have the time or resources to deal with what is essentially a personal problem for the individual pilot. As Scottie has said, there is no shortage of qualified applicants. Were easyJet to enter into discussion with individuals who are unqualified, their scarce resources would be unnecessarily diverted from the main task of recruiting the right people from the large list of qualified pilots. Best of luck with the exams!