Christ in His instructions to His disciples did point that they should approach in His name (Jesus' name). In doing so, it does give us a hint of what direction to take when looking for this answer. Reputation is like a passport that allows you entry into a place but it is permission sought from one government to another. We have access or gain entry based on the reputation of the one who sends us. As explained broadly in the previous answer, the Name of the Lord is a broader statement of the reputation of the Lord than just a Noun.

In Deuteronomy 14:23 it says;

"Bring this tithe to the designated place of worship—the place the Lord your God chooses for his name to be honored—and eat it there in his presence. This applies to your tithes of grain, new wine, olive oil, and the firstborn males of your flocks and herds. Doing this will teach you always to fear the Lord your God".

Gods need for a relationship with Man did not seem to me to be benched on Him being given a definite name but rather a relationship built on the knowledge of who He is to us over time.. Thus the statement Iam who I am or I will be who I will be.. to Moses in the burning bush.

I know my answer may not get to the particular verses that you laid out for exegesis but i gave what I have in my heart for now. For am neither a greek nor a Hebrew scholar. :-)

My secondary question to this one question would be, does it make a difference praying In the name of Jesus vs Praying through the name of Jesus? Both to me are correct as they still speak to the reputation of the one who give us access.

The essence of reputation is what makes us walk in ways that please Him, for we carry in us, the very presence of God, in word and deed.

Christ in His instructions to His disciples did point out that they should approach in His name (Jesus' name). In doing so, it does give us a hint of what direction to take when looking for this answer. Reputation is like a passport that allows you entry into a place but it is permission sought from one government to another. We have access or gain entry based on the reputation of the one who sends us. As explained broadly in the previous answer, the Name of the Lord is a broader statement of the reputation of the Lord than just a noun.

In Deuteronomy 14:23 it says;

Bring this tithe to the designated place of worship—the place the Lord your God chooses for his name to be honored—and eat it there in his presence. This applies to your tithes of grain, new wine, olive oil, and the firstborn males of your flocks and herds. Doing this will teach you always to fear the Lord your God.

God's need for a relationship with man did not seem to me to be benched on Him being given a definite name but rather a relationship built on the knowledge of who He is to us over time, thus the statement "I am who I am" or "I will be who I will be" to Moses in the burning bush.

I know my answer may not get to the particular verses that you laid out for exegesis but I gave what I have in my heart for now. For am neither a Greek nor a Hebrew scholar. :-)

My secondary question to this one question would be, does it make a difference between praying 'in the name of Jesus' vs 'praying through the name of Jesus'? Both to me are correct as they still speak to the reputation of the one who gives us access.

The essence of reputation is what makes us walk in ways that please Him, for we carry in us, the very presence of God, in word and deed.