Sag Harbor Village Mayor Kathleen Mulcahy, who is running for a second term in the June 15 election, touted her leadership during the pandemic, and said that if re-elected she would continue her efforts to improve water quality and protect the village's waterfront from overdevelopment, and would initiate a village-wide traffic study. Ms. Mulcahy is running against James Larocca, a trustee making his first bid for mayor.