Do I have a case seeing 4 different doctors who overlooked my break, misdiagnosed me and told me to use my arm to get the range of motion back?

I fell and hit my shoulder on February 15. I went to the ER and stated that I thought I broke my shoulder and some ribs. I had x-rays done of both and told nothing was wrong. I had some trouble breathing and went back to ER 4 days later. I had more rib x-rays, and told nothing wrong. I asked about my shoulder and ER doctor told me he would look at x-rays and said nothing there, might be my rotator cuff to get an orthopedic referral. I called my primary who didn't want to make an appointment until mid-April. Finally, I got a referral and saw the specialist Monday March 7th. He took one look at the x-rays and stated I broke my shoulder. Two ER doctors and two radiologists overlooked my injury. I spoke to a radiologist right after my orthopedic appointment and he was like yeah you broke it we overlooked it. We were concentrating on your ribs and didn't see it. I was an x-ray tech for 14 years, I saw the break on my rib x-rays and shoulder x-rays. Delayed my care for 3 weeks leading me to believe nothing was wrong. I don't need surgery at this time, but it's inexcusable.