Afraid for my health

Hello, I recently got out of a relationship with my EX fiance. Before we started having unprotected sex he was tested for only the common STIs. There was also a rumor that he was having sex with an HIV positive woman before I met him. He told that was a lie and the lady was not HIV positive. He also told me he used a needle once experimenting with drugs and that he was OK. Once I heard that information I went to get a test and it was negative. This was last year in April. We split but got back together and became engaged after that situation. From the time we were together we had sex and he would always do pullout. he only came in me 2 times. The last time we had intercourse was in February. During the relationship, me and him never got sick with anything. We were healthy. He did have a stomach bug that went away with antibiotics and I ended getting cystitis during the relationship but that's about it.
Our relationship ended 2 months ago and I ended meeting a guy in a relationship with another woman. We stupidly had sex without a condom and he did not ejaculate in me. He told me prior to having sex that he has no STD or STI. I asked about his HIV status and he says he has gave blood a month ago and that if had anything they would have contacted him.
I was feeling fine after the exposure until I started cycle and started to itch. I went to my gyno and she told me I have Bacterial Vaginosis. I am so floored because I believe I got it from him. I am on antibiotics and it's clearing up.

What are the chances I may HIV positive. I never had anything going wrong with my vagina until now. How accurate would an oraquick home test be at this point?
Everywhere I go I am seeing things about Std and HIV. I am very scared to test.

Afraid for my health