My opinion differs depending on the circumstances.
First, I would like to say that while I do believe the unborn child is a person, I do not consider its death to be the worst thing. You may have noticed that I'm supportive of death if you've talked to me before. This is just a matter of me not believing death is the worst thing, life is important but not the most important, etc. You can't change my opinion on this.
Now on to the debate. I believe fully in birth control for obvious reasons, including the morning-after pill. At that point the baby IS just a bunch of cells. It's not even attached to the uterus. Lots of babies don't ever grow because the cells never attach to the wall of the uterus. Also, I feel the pill is appropriate because it allows for closeness that the condom doesn't and doesn't have the annoying effects (side-effects and the fact that you have to take it EVERY DAY) of the regular birth-control pill.
About rape: I believe that an abortion is okay with rape as long as it happens SOONER rather than later, especially if the mother is young. This can destroy her life, and it's not something she had any control over. Also, how can she be a good mother if she has serious mental trauma from the rape? Once the baby's a bit older, well no, time's up. For the first little while, okay.
Other situations: If it's the mother or the child, save the mother. Someone's going to die, but the mother is affecting far more people: her family, her friends, her significant other, anyone else she knows. Yes, the child's life is important, but I believe that a child needs a mother (or one parent at least...) and that mother has an effect on many more people than the child.
Adoption? NO. I remember having this conversation with CPR and (nothing personal here...) I didn't get the impression that she really knew the effects it has on a child. It is DEVASTATING. You grow up in a family that is not your own, is very different from you, and whom you just cannot have the same attachment to. Where is your personal identity? It may not seem like a big deal but it's really hard to live with - ask most adopted people. You don't have a family, because neither your birthfamily or your adopted family are close enough. It's hard.
I would much rather not have lived than grow up in a bad situation. I would rather have not existed than grown up in a poverty-stricken single-parent home surrounded by drugs, gangs, and other children with problems. Perhaps some can turn out well in that situation... with my temperament I doubt it.
I'm not emo. I'm not nearly suicidal or wishing to die. I am not, however, scared of death, and I can rationally look at the situation and ask "Would I rather be dead/nonexistant, or live and go on to injure/kill someone?". No, not everyone needs to do that, but consider the situation you might have lived in. I would rather die than kill someone unless I was saving yet another person's life. Whether that be from immediate danger or from saving them from a life that would cause many hardships and possibly lead to depression, other mental illnesses, and possible suicidal tendencies? Situational.
Finally, genetic diseases are something I would abort a child for. Some diseases kill children early and cause great pain to them; why would I subject a child to that? Why would I cause years of pain just so they could live a little longer? I feel that is wrong... Not if they'll live a while, or live a normal lifespan without pain (I mean, if the child's going to have a difficult life in society but be otherwise healthy, it's wrong to kill them because they're different), but the disease itself has to be considered.
All in all, I do not support abortion after a certain time. Choose as early as you can or not at all. Some situations make abortion more acceptable, but overall I feel the life is important - especially if you can take care of it.