Worrying about the pill’s effectiveness

I’ve been taking the pill called jangee at the same time every day (except one day when I accidentally took it 1 hour later than the other days) for 2 weeks now. My boyfriend and I have been talking about having sex without a condom but I’m worried that the pill might not work, because last monday (10 days ago) on the last day of my period, we had sex with a condom and maybe it was too rough or something but he noticed that I started bleeding. Usually on the last day of my period, there’s only a few drops of blood but this was much more so we stopped.

Since then, I noticed black discharge and UTI or cystitis, I’m not sure how to call it in English. (Even though I always make sure to pee after sex) I took medicine that cured the UTI but the discharge is still the same, just brown colored now. I read somewhere that black discharge can be a sign of ovulation. But if I’m taking the pill regularly and correctly I’m not supposed to ovulate, am I?

Should we try it without a condom tomorrow or should we wait until I finish my first pack of pills and get my period? We’re really not in the situation to have a baby right now.