She cannot forgive them on her sister's behalf. Paradoxically, only her sister would have the right to forgive them for murdering her and clearly is in no position to do so. The surviving sister, presumably, can forgive them for the pain that their actions have caused her.
In general, I don't think offenders have to show remorse to be forgiven by those who have suffered from their actions if the sufferers want to forgive. However, I should probably find it hard to forgive someone who was not remorseful. Equally, forgiveness cannot be automatic just because someone is remorseful. I am inclined to agree that if someone harmed a member of my family, let alone murdered them, my wrath would know no bounds.
In practice, any offences against me have been slight and unimportant in the big scheme of things. I haven't necessarily forgiven the perpetrators, but can't be bothered to brood over them or, indeed, even call them to mind.
I am still unsure whether forgiveness is really for the benefit of the forgiver, the forgiven or both.