The suggested way to share the hadith does not break the fast with the intention of narrating from the Imam (peace be upon him) what is mentioned in the book.
If the wound is on the parts of the wudhu then it is obligatory to remove the dry blood – even if it is less than the size of a 'dirham' – and make that part tahir in order to perform the wudhu.
If you doubt that you missed one part of your body, you should redo it. However, if you doubt so often in such a way that they become excessive, then you do not need to pay attention to them.