I am sorry for the predicament that you are in right now. It's an interesting study in human behavior. On the one hand most people would profess to be forgiving. They would understand that people make mistakes and they would want to be forgiven themselves for the mistakes they have made. However, when it happens to them it seems to be a whole different story. They focus on your failings and mistakes and judge you based upon those mistakes and not upon the entire you.
This situation will take time to heal. All you can do is do your best. They need to rebuild their trust in you and if you show them that you are working on rebuilding that trust it will come with time.
Good luck to you.