I am sorry if I wronged you in any way this year.
I am really sorry if I did so and didn't apologize for it - I can be insensitive and hope that if I missed the mark with you that you will forgive me anyway.
Please don't hesitate to come to me with my mistakes.
I will do my best to make amends.
In turning, I will also do my best to be forgiving to everyone.
Wishing everyone a year of blessings, including fewer reasons to apologize, a sweet and good new year to all,