Bee,
If I may add to de's posting. Networking has helped me in getting interviews. My story may be unique, but I think who I know has helped me as much as my ratings and hours.
It's rare to run into a crew from another airline where we don't have common acquaintances. Aviation is a fishbowl, and one of your student's from your CFI days may be the guy or gal writing a letter of rec. for you.