Your parents sound like they're giving you some solid advice. I've never been in a romantic relationship, and hope never to be in one until I'm sure it is the man I want to spend the rest of my life with. And honestly, you can't really know that until you're older--I think your parents university age is a good one. At your age (and my age, too since I do not plan on marrying at age 17) romantic relationships are honestly just something we do to feel good, and because of the way the dating game is played, it doesn't even prepare us for the real world in any way. God gave you parents for a reason, listen to them!
Romantic relationships among teens all too soon degenerate into sleeping together. It happens, even when you think it will never happen to you. So, wouldn't you like to keep your mind and body pure, so that when that one REALLY special guy might step into your life you can honestly tell him on your wedding night that this is your first time? I even plan on saving my first kiss until after the wedding ceremony! I am so thankful that you have parents who love you enough to set boundaries, and they sound very reasonable. Out of respect for them, don't you think you need to keep them? Anyway, that's my take on it. God bless you!