Make sure your CV is good, get it proof read by professional pilots. As soon as I did this I got an interview and sim check with a jet carrier. Now waiting a phone call to say yes hopefully. I've never had it easy but suddenly you get a big break. Networking works wonders to. You get given a name to send to and voila, INTERVIEW! Been waiting months since finishing, just when you lose all hope, comes your big break.
It is true some will never make it, as they don't meet the personality and piloting skills that airlines want and probably never will, but this is the same in any industry.
Stick with it, it will happen if you want it enough!
Tonirubini, Can I ask why you went and got an MD83 TR, wouldn't it have been more prudent getting a 737 or A320 TR? Your choice I guess.