I am so sorry that you are going through this. I recently went through something similar as my sister was dying, very quickly, of cancer. I do not have anything in my contract for bereavement, but I will now.
As for that parent, I agree with the other posters, kick her/him to the curb. They clearly have zero empathy. You don't need to deal with someone like that during this difficult time.
I was very lucky that all of my families were very understanding. I took five or six days to care for her and for the funeral. I managed to get a fellow ece to supply for two days, I did not charge for the days that I was closed. However, I know that's not an option for everyone. I wish you all the best.