You assume that there are only 2 alternatives : (I) arbitrarily choose who lives, or everybody is forced to live. Genius!
I'm not against voluntary sterilization, but why are you against voluntary abortion? It's another thing if you're willing to pay for the child's expenses(and I know you are not), but I'm willing to pay for either abortion or prevention of pregnancy.
This is exactly what I mean about pro-lifers being like liberals, it's all about their opponents paying. If somebody wants an abortion, pro-lifers not only wouldn't pay for it, but wouldn't help prevent it. If somebody is forced to have the baby as an alternative, pro-lifers again wouldn't pay for the child. They want to force people to do something, but not willing to pay for it.
As a father of two adopted children, I can assure you that there are plenty of pro-lifers who are willing to "pay for the child"
If it's impossible for her to chase him down, yes. Because it was her right to abort the baby in the first place. If she only was willing to have the baby relying on his promise (and he better show some reason it's believable), she shouldn't continue to do something she either didn't want to do, or cannot afford.
I pretty much believe the mother always has a right to abort a baby, unless she had some legal obligation or contract saying otherwise.
And here we have a clear view of the moral depravity of pro-abortionists.