Who cares about bc when stuff like this happens. Take as much time as you need, it happens to all of us. Shit happens.
And I gotta say, Her getting upset and ending the relationship is kinda, well.... shitty. Hell, even if you used protection, and she was on birth control, it can still happen. My cousin got pregnant twice even though she was on the pill, and he used protection. Life finds a way, and I hope you guys can figure this out without resorting to custody battles and crap like that. I know you will get through this.
Also, I don't know why she is upset with you. As i said, people get pregnant even if all the precautions are used.
You both need to figure out a way to be in the child's life. I know what it is like without a father, and I hope that your child doesn't have to go through life without a father or mother. It has been hard on me.
Anyway, I hope you guys figure something out.