So if it was your first time then its completely reasonable for you to have bleed. How much was it the second time? Was it like your period, or worse?
It's ok, it happens. Something you're going to have to learn to live with probably. A lot of people have sex while they're on their period because sex makes them menstruate, like me for example. I'm 21 and have never ever had a regular period - and had to learn to live with teaching my partners that it's just something that women have to deal with sometimes. My current boyfriend of 7 months is completely understanding, but when I was your age it was much more difficult. It's easier once you've been with the person a while. Put old dark towels on the bed if you need to.
If it's painful, make an appointment with your doctor and tell your parents you're going to get allergy meds/getting severe cramps checked out. I had severe cramps that turned out to be ovarian cysts (extremely painful) and was able to use that as an excuse fairly often (follow-ups, etc).
Good luck, I hope things work out for you.