Forgiveness
There is a difference between being sorry and being forgiven, and the second one does not depend on how convincingly you manage the first. Scripture puts forgiveness on God's character rather than on the quality of the apology.
Featured Scripture
If we confess our sins, he is faithful and just to forgive us our sins, and to cleanse us from all unrighteousness.
1 John 1:9KJV
Faithful and righteous, which is a strange pair of words to use about mercy.
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Coming Back to God
For reconnecting with God after time away. The welcome comes first; nothing has to be made up for.