Great for you to read all the text surrounding any attempt to use one "proof-text". One thing I learned coming to JWN is the secret attempt by the WTS to usurp Jesus Christ's authority over all his domestics on earth. We pray in Jesus Christ's name (he is hearing our prayer according to (John 14:14-16) and delivering our prayer using the the Spirit to plead our cases before our Father in Heaven (Romans 8:26), Jehovah God. Ephesians 6:18 throws some interesting light on this idea:
"Pray in the Spirit at all times and on every occasion. Stay alert and be persistent in your prayers for all believers everywhere."
Some where along the line, even though the Watchtower pushes a Neo-Judaism-Christian Hybrid religion, they forget you had to go through the King's court officials to receive a audience with the Royal King. The prayers using Jesus Christ's name by many Witnesses show a lack of appreciation for his authority, giving more praise to "The Governing Body" (time wise as members pray for them, never mentioning in details how the praying person appreciates all Lord Jesus Christ did for mankind, he get's brushed aside for "all the Bethelites have done for mankind".
In Short, Jesus hears the prayer and delivers to our Holy Father Jehovah God, that makes two hearing the prayer or if the Holy Spirit is a person, I can't say 100 percent because that's dogmatic, would it be Three entities that hear the prayer? I am not a Trinitarian, just throwing out this emphasis of the many times the Bible exhorts us to use the "Spirit".
1 John 5:4b, 5 "Who is the person who overcomes the World and will be Saved, he who screams out "Jesus is the Son of God!"
John 14:14 "Because I go to the Father: and whatsoever you shall ask the Father in my name, that will I do: that the Father may be glorified in the Son. Duay Version (Catholic Bible)
John 14: "
12 In most solemn truth I tell you that he who trusts in me--the things which I do he shall do also; and greater things than these he shall do, because I am going to the Father. 13 And whatever any of you ask in my name, I will do, in order that the Father may be glorified in the Son. 14 If you make any request of me in my name, I will do it.
15 "If you love me, you will obey my commandments.
16 And I will ask the Father, and He will give you another Advocate to be for ever with you--the Spirit of truth.17 That Spirit the world cannot receive, because it does not see Him or know Him. You know Him, because He remains by your side and is in you." Weymouth