the man's decision to financially abort doesn't give the woman enough time to get an abortion

She can financially abort.

the woman doesn't know she is pregnant until after the legal window to have an abortion (happens)

She can financially abort.

the woman doesn't have the financial means to get an abortion

She can financially abort.

the woman has moral issues with abortion. she now has to chose between undergoing a traumatic experience and going against what may be very deeply held beliefs and having a procedure done to her body, or raising the child alone. The man has to make no such choice

She can financially abort. If even that goes against her morality, then I don't know what to tell you aside from the fact that her morality should not be allowed to restrict the rights of the father.

the man initially says he will support the child, but then backs out. Will there some sort of required binding and written choice the parents must make of their intent when they first learn of the pregnancy

Any decision to financially abort would be irrevocable. If he makes his decision near birth, then she can financially abort as well.

a man is in a relationship with a woman he knows doesn't personally believe in having abortions and they talk about the risk of pregnancy and agree they would raise the child if it happens. then the woman gets pregnant and he opts out and leaves her

If he decides to financially abort during the pregnancy, that is his prerogative, whether he had stated prior to the pregnancy that he would support the child or not. His circumstances could have changed or he could not have seriously entertained the idea of a child prior to the pregnancy. And anyway, she can financially abort if necessary.