Be proud of yourself and dont be discouraged so easily. It is better to study hard now and in the mean time, actively looking for a job. There is no harm to be flexible.
I'm not sure if NUS will allow you to purposely 'delay' your graduation, unless you have valid reasons. Why take 3 years and a half when others can do so in 3 years? What will your future employer think when they notice it from your resume? You must be able to justify yourself.
Don't run away from obstacles. It's time to grow up.