Adhan is Sunnah for the five daily prayers and Jumu‘ah. The Hanafi adhan omits tarjī‘ but includes the Fajr addition twice.
Iqamah closely resembles adhan with “qad qamat al-salah” added twice. Adhan is measured; iqamah is brisker; both are normally given facing the qiblah, with the familiar face-turning at the calls to prayer.
Missed prayers, ritual purity, and prayer-time entry have distinct rules. Abu Yusuf's early-adhaan exception concerns Fajr alone.