Broken Wings,
"I think they'll take an interest in where you did you training and possibly if you got first time passes in the air. I believe that they are more interested in whether you will fit in with their company so that boils down to the personality tests and a good interview performance. At the end of the day it's all about selling yourself that you are the right/best one for the job, and that process starts with getting your CV noticed."
This is all very well when you get your interview but to get your application and CV noticed in order to get an interview you have to be able to offer the airline something that they want.
An airline taking on a self improver with low hours is looking to reduce their training risk as far as possible. They want someone who will not have trouble passing the type rating exams and who will be able to pass the IR on type at the end of the sim course.
The best way to demonstrate this is by having first time passes with good grades in the ATPL theory subjects and having first time passes in the flying. Having a CPL IR with frozen ATPL is an absolute minimum qualification (no one applying for an aircrew position with an airline will get far without it) so you do need to put yourself above this level.