Opinions w no judgement please

So I had my last period on May 10th, me and my boyfriend had been having unprotected sex for over a year trying to get pregnant and he thinks he can’t have children. Right before my period I took a test, it came out positive, I took two more that came out negative and then I got my period which was shorter than normal. On May 26th I had ended up leaving my home and made the mistake of having sex with my sons father. On June 7th I took a pregnancy and it came back positive. I got an ultrasound done on June 11th that put me at 4w4d, we couldn’t see a sac or baby, we could kinda see the area that the sac will grow. I go to my doctors tomorrow which will put me at 5w6d to try and see a heartbeat. The lining of the cervix or whatever was already thickening. I’m just so nervous to see when i had concepted. The whole pregnancy calculation thing is very confusing to me, from ovulation to implantation to conception. Idk how it works honestly. I guess I’m just looking for opinions on who’s baby it could be, or when I had conceived. And if the ultrasound tech I had seen could be wrong about how far I am. Please just give me opinions and help and advice.