I'm so sorry this happened to you. It's their loss. Yes, I think you should pick yourself up, shake the dust off and apply for other jobs. Things tend to work out. I stuck it out at a job for 6 years where I was harassed and bullied so much I finally resigned with nothing on the horizon and my mental health deteriorating. Eight days later I had a better paying job with a better title, better conditions and better benefits. I know you must be terribly disappointed but hang in there. Sending big hugs.