You can't help how you look or a medical condition you may have. Embarrassed for what? Some nurses are actually high, and not just "looking" high. If anyone has a problem tell them you're a nursing student that also works fulltime 12 hours a day, I'm sure their eyes looked the same way during their schooling and working to maintain
The burn out factor is very real.
It just sounds like you sadly got threw into a non compassionate program, keep a journal with all of your feelings so that you can look back on them once you get settled into your new career.
Keep your head up, and don't forget why you started. You're almost at the finish line, you got this!