Yes, they do and that is based on my personal experience as a second courser. I also passed the June 2007 NLE (but originally, a June 2006 NLE passer). I don't think hospitals categorize their applicants by being a second courser or what. What is important to them is your credential, if you are trainable or not. That was what I was told when I was interviewed.
The fact that there are just too many nurse-applicants gives hospitals the whim of implementing stricter screening process. For instance, among my 10 co-trainees, 3 graduated as cum laude. In my observation, a good PRC rating will also help land you a job. Actually, I'm older than you are and got hired as a staff nurse twice (as a June 2006 passer and then as a June 2007 passer).
I suggest you work on boosting up your credentials - attend trainings, take up a master's degree, do volunteer work, etc. Actually, I have friends who are in your same situation. Two flew to Dubai, others opted to review for the NCLEX/IELTS, some
are persistently applying for a job and some landed in call centers.
All the best to you. Most often, prayers do help too. God bless.
"In all your getting, get understanding." - Proverbs 4:7