"I don't know where Rand discusses abortion, but she was pro-abortion. I don't know why."
An assertion on your part, yet you can not point me in the direction to where to find proof of your assertion. Until you can show me specific examples or documentation of your assertion, I'm not willing to blindly believe your assertion.
"The Libertarian Party platform says that they are against the government paying for abortions and they are against the government prohibiting them. Don't ask me to explain this either."
Do they believe this at the Federal level and leave the legality of it to the States?
La Rand had a newsletter (The Objectivist Newsletter?) in which she endorsed Gerald Ford breathlessly over Ronald Reagan solely on the basis of Reagan's opposition to abortion. Given her life of atheism and serial adulteries, we are hardly surprised.
Google Ayn Rand Abortion and see what you can find. I, for example, found this:
I cannot project the degree of hatred required to make those women run around in crusades against abortion. Hatred is what they certainly project, not love for the embryos, which is a piece of nonsense no one could experience, but hatred, a virulent hatred for an unnamed object...Their hatred is directed against human beings as such, against the mind, against reason, against ambition, against success, against love, against any value that brings happiness to human life. In compliance with the dishonesty that dominates today's intellectual field, they call themselves 'pro-life.'— Ayn Rand