I would get it checked by a doctor before you have any more sex, just to be sure.
But yes, if you are uncircumsized then it is possible that it is your frenulum tearing a bit. Your frenulum is a small piece of tissue that connects your foreskin to the glans of your penis, and if you can comfortably pull your foreskin back all the way then it shouldn't be causing you any pain or bleeding. Its possible that you just haven't exercised your foreskin enough though, and so the extra friction is leading to some painful/bloody experiences during intercourse.
The best thing to do in this situation is consult a doctor, NOT take advice from people on Sythe (no offence anybody). A doctor is better qualified to handle this kind of situation, and if it really is your frenulum, then it is a very small problem and can be fixed very easily so I wouldn't worry too much about it. Good luck!