Shavuah tov Libby. That is Hebrew and the traditional greeting Jewish people extend after the Sabbath. It is a wish, a small prayer that you, the receiver of the greeting, should have a good week, a week that leads to an increase in life.
I'm not certain that I understand what you have said but it sounds like it is coming from the idea that the Jewish people are, in the right circumstances, supposed to be 'a light to the the nations'. That means the way Jews live their lives should be a living example for others about how they should strive to live.
Forgiveness comes from two primary places. The first is love and the second is the recognition the we all have a common source or origin. Sometimes people make mistakes. It can even appear as intentional. But forgiveness, especially in those times, comes though recognizing the connection we all have with each other.
Like you say, "you can't force it". Otherwise, there is not true forgiveness. Forgiveness must, by necessity, be genuine. But our capacity to love comes to us from our connection with the Creator who truly loves us all. And the Creator is infinite, He provides for each and every thing.
This is like what we read in Psalm 145:9, "The L-rd is good to all;
He has compassion on all he has made."