Can A Child Light The Menorah At Shul And Do You Repeat The Shechiyanu When Lighting At Home?

Can a child light for the entire community? Do you repeat the Shechiyanu blessing at home once it's been said in shul? For more Chanukah laws from the OU: https://www.kosher.com/lifestyle/everything-you-need-to-know-about-chanukah-laws-542