Who doesn't remember the awkwardness of a first date? First Date, the first new Broadway musical of the season playing at the Longacre Theatre, is a romantic comedy about a young couple meeting for the first time on a blind date. The book is by Austin Winsberg and the score is by Alan Zachary and Michael Weiner. Zachary Levi from the television series "Chuck" stars alongside Krysta Rodriguez, who appeared in the backstage-on-Broadway series "Smash."