Prayer is general, supplication is specific, intercession is for others. The giving of thanks should accompany all occasions in the presence of God.
Prayer should be made to God and the Father. We pray to the Lord Jesus about gospel work because He is Lord of the harvest. Also we address Him because He is God.
We are to pray for kings and all that are in authority; we pray for all men. We pray for those in authority that we might live a quiet, peaceable life in all godliness and honesty. God would that all men might be saved and come to the knowledge of the truth.
Christ is the "one mediator between God and men, the man Christ Jesus who gave Himself a ransom for all, to be testified in due time."
Paul, a teacher of the Gentiles, instructed that men should pray, lifting up holy hands, without reasoning. Women should walk in modesty with good works and learn in silence. They should not teach doctrine but practical things to young sisters. The woman "Eve" was deceived and suffered the penalty for her sin, but "she shall be saved in childbearing, if they continue in faith and charity and holiness with sobriety."