Shalom:
Good question and thanks for trusting me with the   answer.
We of course don't wish folks a 'happy new   year'.
We wish them a Shana Tovah, a good   year.
So where does sweet come into play?   ["u'metuka"]
Well first, we need to remember that there are 4 Jewish new   years.
The one this Monday, is on the first of the 7th   month.
It is the New Year for not Jews, but for humanity, because Adam and   Eve, so we teach, we born, created on this day.
And the Jewish people's New Year is on the first day of our first   month, Nissan.
And we celebrate it 14 days later, as Passover, when we were born   as a free nation.
And we say then, have a sweet   Passover.
So the sweetness got carried over.
The other new years, are first of Elul which is for animals, and first   of  Shevat, moved to   the 15th of Shevat, by Rabbi Hillel, i.e. Tu B'Shevat, which is for fruit   growing trees.
Now for sweetness: it is a bit like which came first, the chicken   or the egg.    
We eat an apple on Rosh Ha Shana. The apple symbolizes Gan Eden (the   Garden of Eden), which according to the Talmud has the scent of an apple   orchard, and in Kabbalah is called "the holy apple orchard."   Isaac commented regarding   his son Jacob (Genesis 27:27), "Behold, the fragrance of my son is like the   fragrance of a field, which the Lord has blessed!"   The Talmud explains that   this refers to the scent of an apple orchard, the scent of Gan   Eden.
SHALOM and BLESSINGS: