I understand that those verses which were posted are somewhat difficult to understand.
Then shall the Son also Himself be subject unto Him.
This is not suggesting that the Son is subordinated to the Father, which many have come to that conclusion.
Subjection in this sense does not refer to His essence but of His ministry and function as the Son incarnate. It is also to be understood dispensationally. The administration in regards to the Messianic Kingdom is given unto the Son.
And Jesus came and spake unto them, saying, All power{Gr. exousia or authority} is given unto me in heaven and in earth. Matthew 28:18
And at the end of the Messianic Kingdom, this function will be returned to God the Father, so that God may be all in all.
God Bless!