Did the pediatrician say it's actually petechiae? Or do you assume it is based on google? Petechiae doesn't just come in "8spots" here and there. It would look like a serious rash under the skin. If your pediatrician saw it and wasn't concerned - ESPECIALLY after blood work, she's fine. If he thought, even for a second, that there was some remote possibility that something serious could be going on, he wouldn't risk a lawsuit - he would order more tests or refer you to the proper specialist.