What is the ruling on my fasting, and did I break my fast on the days my blood flowed after a tooth extraction, or before it due to an abscess? And do I have to make up the entire month of Ramadan, or only the days of my menstrual period?

Swallowing blood intentionally invalidates the fast and is forbidden because it is impure. However, if one swallows it unintentionally, their fast remains valid. If you are certain that you intentionally swallowed blood during a Ramadan day, then you must make up that day. But if there is doubt, nothing is required of you, because doubt after completing an act of worship does not affect its validity.