It will ease your mind in the end to do a DNA test, and it is important for that reason, but the situation does not sound worrisome to me.
It sounds like you conceived in late September, not the 10th or even the 15th (to account for the long life of sperm in the woman's body after sex).
So I shouldn't worry about the sex I had during my period? No way that could have lead to this baby? Thank you by the way
I got a positive on October 8th and a positive ovulation test on the 22nd of September so don't think so.
Sounds like you conceived around October 2.