My guess is that you're not the dad. She is certainly behaving like she does not think you are.
The dates don't particularly add up to you. If you want to make a fuss and insist on a DNA test once the baby is born, talk to a lawyer. I think she is pretty satisfied with the medical evidence she has and that is why she is not giving you all the information you desire.
She is not being forthright with answers unfortunately all i know for certain is she had a scan on the 9th may and is due 13th november
Do you know how the midwife got the due date?
If it is accurate, you should be in the clear. But since the dates are close, the midwife's assessment needs to be as accurate as possible, which means the date should be based on an ultrasound in your friend's 7th week. Was it?