Hi hjmemon,
I am not quite sure about if you have a chance or not with 1000hrs... but maybe you could try it with KAL. They are looking for non rated pilots. The rating will be on your own costs.
As I realized (not my own experience but rumours) KAL is not the first choice of those with many flight hours, so maybe low hours pilots have a better chance there. Give it a try.
And never give up trying and applying, for example Jade Cargo. Do not ask the guys here if you have any chance, the only one who can tell you is the human resources lady of the companies where you apply.
