You were charged with a misdemeanor and given a summons but not arrested The police did not read you your rights but should they have?

A summons is syaing that charges are being filed because of probable cause of a complaint. Lw enforcement only needs to read you your rights (Miranda v. Arizona) if you are: 1) Under arrest; or in a police controlled environment 2) You are asked questions which would cause you to incriminate yourself