He put all things in subjection (panta hupetaxen). First aorist active indicative of hupotassō, quoted from Psa 8:7 as in 1Co 15:27.
Gave him to be head (auton edōken kephalēn).
Gave (edōken, first aorist active indicative of didōmi) to the church (the universal spiritual church or kingdom as in Col 1:18, Col 1:24) Christ as Head (kephalēn, predicate accusative). This conception of ekklēsia runs all through Ephesians (Eph 3:10, Eph 3:21; Eph 5:23, Eph 5:24, Eph 5:25, Eph 5:27, Eph 5:29, Eph 5:32).