This is a negligence issue. The questions that remain after reading your post, make it impossible to give you sound legal advice, with respect to whether you have a claim. However, you should in fact, keep gathering as much information as you can regarding who saw your child and when and keep records of timelines and statements of doctors. In the event you do have a claim, this information will be vital.
One of the hurdles in this case will be, that assuming you can prove negligence, you have to ask, what are your damages. Hopefully, your child is improving well and has no permanent injury from this incident. If so, your damages will likely be minimal. If not, you definitely should seek an attorney for, at the very least, a consultation to see what remedies are available.
When asking about a "mark" on the doctor's record, you would need to file a complaint with the Department of Regulatory Agencies at the following internet link: http://www.dora.state.co.us/medical/.
However, I would consider speaking with an attorney and making sure you have good information before doing so.
I hope this helps, and I hope your children are okay.
Nothing in this communication should be considered legal advice. Nor should this communication lead you to believe that an attorney-client relationship has been created. Only after thorough analysis of your case with you in my office can I provide effective legal advice on your specific issue.