Yes. Removing a tooth creates an open wound. Bacteria can easily use that opening to enter into the blood stream. Normally, the immune system with keep it in check. Some bacteria are nastier than others and harder to control.
Could be. Hard to say, but there could be a connection. Need to have a thorough history and exam to help you with your answer.
Possibly. If the teeth were infected there is a greater likelihood that bacteria could have entered your blood stream and caused an infection, or if your jaw had infection when the teeth were removed. It could also have been coincidence if another source of infection causing septic shock was identified.
Sure. Seems like dental infection and abscesses. You are lucky to survive!