Is it dangerous to ejaculate into an eyeball?

I've been having sex for quite a while now, but about a month and a half ago I noticed that I've begun bleeding after vaginal intercourse. The bleeding is pretty light--though lately it's been getting a tiny bit heavier--and is either bright red or pink. Also, the day after I'm usually a bit tender and swollen, which is not normal for me. I'm on the pill, and take it perfectly, and I also get my exams yearly, along with sti testing--my partner and I are clean and in a long term monogamous relationship. I just made an rx appointment for next week, but I'm wondering what the possible causes are for these rather unpleasant developments. Sex doesn't hurt as long as we use lots of lube (which I used to not have to use), but bleeding and feeling tender for a day afterwards sort of put a damper on things. Any ideas/advice? I'm starting to get worried.

I had unprotected sex (mistake #1) with an older guy who I don't know at all (mistake #2), but he didn't have any sores on his penis, and we only had sex for like 25 seconds, if that. If he didn't ejaculate in me and didn't have any sores, could it still be likely that I get a STD from him? He said he doesn't have any STDs, but people lie, and I'm obviously nervous. If you have unprotected sex, how long should you wait to have a Pap smear done to get the correct results? Is four weeks long enough? Is one week too short?