Peter also walked on the water, demonstrating that walking on water is not something that only God can do. Therefore it doesn't called that Jesus being the "one and only Son of God" is implied deity.First, we have to consider that Jesus is the one and only Son of God. Second, the title Son of God is a reference to his deity. Third, we should look at all the instances where he is worshiped and note the contexts:
Mat 2:2 saying, “Where is he who has been born king of the Jews? For we saw his star when it rose and have come to worship him.” (ESV)
Mat 14:25 And in the fourth watch of the night he came to them, walking on the sea.
Mat 14:26 But when the disciples saw him walking on the sea, they were terrified, and said, “It is a ghost!” and they cried out in fear.
Mat 14:27 But immediately Jesus spoke to them, saying, “Take heart; it is I. Do not be afraid.”
Mat 14:28 And Peter answered him, “Lord, if it is you, command me to come to you on the water.”
Mat 14:29 He said, “Come.” So Peter got out of the boat and walked on the water and came to Jesus.
Mat 14:30 But when he saw the wind, he was afraid, and beginning to sink he cried out, “Lord, save me.”
Mat 14:31 Jesus immediately reached out his hand and took hold of him, saying to him, “O you of little faith, why did you doubt?”
Mat 14:32 And when they got into the boat, the wind ceased.
Mat 14:33 And those in the boat worshiped him, saying, “Truly you are the Son of God.” (ESV)
(Note that the reason for their worship is Jesus's walking on the sea and stilling of the wind, and that they state that he truly is the Son of God.)
Yes there are many examples that I am aware of where they bowed down to Jesus in reference to him being the Son of God, but worshipping someone does not mean they are God. Many times in the Bible are humans worshipped and it's normally due to their status, but not because they are God. It isn't as though bowing to a king implies they are God.Mat 28:9 And behold, Jesus met them and said, “Greetings!” And they came up and took hold of his feet and worshiped him. (ESV)
(The context here is his first appearance after his resurrection. Compare that with Thomas's response to his first encounter with the resurrected Christ.)
Mat 28:17 And when they saw him they worshiped him, but some doubted. (ESV)
Luk 24:51 While he blessed them, he parted from them and was carried up into heaven.
Luk 24:52 And they worshiped him and returned to Jerusalem with great joy, (ESV)
(Two more post-resurrection contexts.)
Joh 9:38 He said, “Lord, I believe,” and he worshiped him. (ESV)
(This is the response of someone whom Jesus had just healed.)
Notice that in all these instances, the contexts are Jesus's birth, miracles he performed, and his resurrection. In other words, there is something supernatural in each of the contexts. This is not the same as simple bowing as one does before any other man.
And, again, we must contrast that with what happened with Peter and the angel(s) in Revelation:
Act 10:25 When Peter entered, Cornelius met him and fell down at his feet and worshiped him.
Act 10:26 But Peter lifted him up, saying, “Stand up; I too am a man.” (ESV)
Rev 19:9 And the angel said to me, “Write this: Blessed are those who are invited to the marriage supper of the Lamb.” And he said to me, “These are the true words of God.”
Rev 19:10 Then I fell down at his feet to worship him, but he said to me, “You must not do that! I am a fellow servant with you and your brothers who hold to the testimony of Jesus. Worship God.” For the testimony of Jesus is the spirit of prophecy. (ESV)
Rev 22:8 I, John, am the one who heard and saw these things. And when I heard and saw them, I fell down to worship at the feet of the angel who showed them to me,
Rev 22:9 but he said to me, “You must not do that! I am a fellow servant with you and your brothers the prophets, and with those who keep the words of this book. Worship God.” (ESV)
If Jesus is just a man, why does he accept worship and Peter does not, precisely because he is a man? Why would the angel(s) tell John not to worship them and to worship God, yet Jesus does not, on several occasions?
1 Kings 1
23So the king was told, “Nathan the prophet is here.” And Nathan went in and bowed facedown before the king.
It isn't as though Nathan the prophet committed open idolatry because worshipping a different god aside from YHWH as God is expressly forbidden by the the first two commandments.
To be sure that Jesus is not YHWH, the I AM, God, etc you can see how God is referenced as the God of Abraham, Isaac, and Jacob and Jesus is His servant.
Exodus 3
14God said to Moses, “I AM WHO I AM. This is what you are to say to the Israelites: ‘I AM has sent me to you.’ ”
15God also told Moses, “Say to the Israelites, ‘The LORD, the God of your fathers—the God of Abraham, the God of Isaac, and the God of Jacob—has sent me to you.’ This is My name forever, and this is how I am to be remembered in every generation.
Acts 3
13The God of Abraham, Isaac, and Jacob, the God of our fathers, has glorified His servant Jesus.