Both of these statements are false.
During the time of the Boston Police Strike in 1919, Calvin Coolidge was governor of Massachusetts. As governor, he helped crack down on the police who had gone out on strike.
In the 1920s, Calvin Coolidge was president of the United States (from 1923 to 1929). He and the other Republican presidents of the 1920s were opposed to labor unions. They did various things while in office to harm the unions.
So, Coolidge is remembered as a president who was opposed to organized labor. If you can remember that, you can answer questions like this one.