Totally consistent libertarians are not. However many say that sense the child is a separate person, they have the rights that all individuals have including the right to life.
But a strict libertarian is not pro life, for it means limiting the choice of the mother.
Yes, that seems to be so.
1. The mother is not the child.
2. If the child weren't a living being, they wouldn't have to kill him/her.
3. The avenue of birth is a long-standing, long-used, recognized right of way. It is an non-possessary easement of right of use. In fact, it's an easement that the mother in question has herself used, thereby relinquishing any objection to herself abiding by the same right-of-use easement.