Should I tell him he infected me?

I went to the doctor a couple of weeks ago because I had this really bad itch and my vagina was burning and extremely sore after sex. When I got in, I told the doctor that I thought I had a yeast infection because I noticed the white discharge and remembered the itching. She prescribed me the drug Diflucan and asked if there was anything else she could do for me. I told her that I had also noticed a brown discharge that had been occurring for quite sometime. I hadn’t said anything about it because I was embarrassed. She immediately decided to do a quick check up. While she was down there looking, she noticed a lot of vaginal irritation. It surprised even her. I have been having unprotected sex with my boyfriend for about 6 months-information I neglected to inform her of. She was so interested in the irritation that she decided to just go ahead and do a pap smear. She did diagnosed me with a yeast infection and vaginosis. She gave me two prescriptions for that and said that my pap smear results would be back shortly. A week later, my mother received a call from the doctor requesting that I come to th office as soon as possible. When we got there, the doctor told me that I didn’t have gonorrhea but I did have chlamydia. I also have HPV. She gave me a 7 day regimen of Doxyclyline for the chlamydia and she told me she couldn’t do anything for the HPV. She said to come back in 3 months for a follow-up pap and if the HPV was still there, she would have to send me to a specialist. I got the medicine from the pharmacy and the whole time I was thinking of which one of us gave the disease to the other. I believe I contracted the Chlamydia from him but I have probably had HPV for a while. I meant to confront him about the matter but when I got to his house, we just ended up having sex. I took the medicine like the bottle said (twice a day) but by me have sex with him (unprotected) during that time, he reinfected me. Should I tell him that he has HPV and Chlamydia?