Well the father's name traditionally goes last...but I guess you could pick either?
I know the two last name thing because the lady I work for is from Peru. Not sure about the rest LOL
we have first the father´s name and the last family name is our mother's last name. If my Mom is Julia Aldama and my dad Antonio Espino, so my name will be like Susana Espino Aldama. You can not exchange the order