Hi FAB,
I think that no hours on the type rating is your problem. I am sorry to tell you this but the type rating you paid for might not be good enough if you don't have hours to back it up. It might get you an interview somewhere, someday but i think you need to have some experience backing your newly bought type rating.
Not sure how much hours you have total but i would think a type is no good without hours on other airplanes of same or close to same take off weight will help.
good luck.
I also think QR are still a few months to a year away from getting this cadet thing on the right track. They are short listing people right now and trying to see who is going to make the short, short listing next.
HM