That makes sense and I empathize with your situation. Rejection sucks, the first job is the hardest to get, and it's going to suck until you get the first yes.

A trick that has sometimes helped me is to think of each no as a success, getting you closer to a yes. So rejection stings, but every rejection means you completed on application, and statistically speaking you're going to get a yes at some point. Or, at the very least, if you've gone so long and have gotten N hundred rejections you know it probably won't work and you'll have to make alternate plans.