Sorry that should say missed period 31st of august not 30th
The embryo starts on the day it starts, not on the day it implants. The measurements you get from an ultrasound are of how big the embryo is, not when it implanted.
In other words, I think it sounds like you conceived around August 14. Don't stress. Don't stress. Don't stress. :)
Though embryos all begin as one cell, and for a little while they divide at a known rate, some embryos grow more rapidly than average and some more slowly. Because of this, by the 20th week, an ultrasound will have a margin for error of a week and a half, if someone were to try to use it to determine a conception date. By full term, it could be as much as three weeks off. You had a seventh-week ultrasound, that will be the closest to accurate. Don't try to spin theories about implantation bleeding or any other stupid stuff, count on the info from your first ultrasound if you are going to try to do this kind of count. (I should also point out, even if conception happened on August 4th, which it doesn't sound like it did, it would not implicate the guy you had sex with on July 15.) Don't do this to yourself, you dodged the bullet and you don't need to obsess.