I'm Doug, and I'm very sorry to hear of your situation. My goal is to provide you with excellent service today. I have been a licensed attorney for more than 3 decades, and I handle employment law. I am also quite familiar with HIPAA as it relates to hospitals and clinics.
The posting of the name (first, last or otherwise) of the patient, without specific permission to do so---even if the patient approved the posting of the photo, was technical HIPAA violation.
I would have to say that the inconsequential nature of the violation really did not justify the suspension, but the employer is within its right to discipline even for the most minor of HIPAA infractions. I have represented nurses before in battles with hospitals, and my own wife is a floor nurse at a hospital. I do not see any cause of action that you have arising out of this incident and therefore you are really not in need of an attorney at this point in time.
What you should probably do though is to get the letter of consent from the physicians and ask that it be placed in your personnel file because it certainly lessens the appearance of the "violation" and may be important in your future career to have the proof that you were given permission to post by the patient them self.
You may reply back to me again if you have additional questions, and I will continue to assist you.
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I wish you and yours well in 2017,