Yes, there is free will in most cases.
Yes, there is responsibility in most cases.
No, people should not be forgiven without them facing up to what they've done, in most cases, showing real sorrow for how they've made someone else feel and asking that person for forgiveness.
No, not everyone should be forgiven.
No, if someone is insane, they still do not have to be forgiven by the victim or relatives of the victim, if they don't feel like forgiving them.
Why should people forgive those who can't even bloody well apologize in the first place, or show any remorse?
FAR too much pressure is put on people these days to forgive the guilty people anything at all...almost giving others total freedom to behave like Absolute Shits and STILL be forgiven for it...
And if the Church wants everyone to forgive, it's more likely because it gets them off the hook of having to ask forgiveness from all the wonderful, innocent people they've traumatized throughout history...
Oh..and if anyone ever attacked/raped/abused/murdered my children, or someone I loved, I'd kill them, if I were able to, bugger forgiving them.