Possibly not. The breaker that runs that outlet should be 15 or 20 amps. It's quite possible that the one breaker powers ALL outlets in that room. So, using other outlets won't help. To check: find the breaker that controls one of the outlets, turn it off, then go around the room and plug something into the other outlets to see if they still work. If any of them are working, then you'll know that they're on another breaker, and you'll be able to distribute the power usage among the two breakers.
Edit: I didn't work out the math - someone else did, and it looks like you're alright, even on just one breaker.
And, to answer your last question: yes, each separate breaker is 15 amps; not your whole house.