As every husband and father knows, there are “Two Things,” no “Three Things” he must not do: “say no to his wife and no to his daughter, or tell the truth.” As life becomes more complex for Gomez Addams, he considers “Four Things” not to do. Welcome to the “The Addams Family, A New Musical” playing at the Lincoln Theatre through April 2.

Addams, played with a confident panache by Luke Dooley, and his wife Morticia (Bailey Wend, with a great deadpan morbidity) open the show on the one evening every year the family gathers to contemplate love and death. And “When you’r...