I'm going to exploit the conception that the four gospels are harmonious. Keep in mind, this isn't my belief, but for the sake of the argument it seems permissible.
On accepting worship:
Mat 4:10 Then saith Jesus unto him, Get thee hence, Satan: for it is written, Thou shalt worship (proskuneo) the Lord thy God, and him only shalt thou serve.
Rev 19:10 And I fell at his feet to worship (proskuneo) him (angel of the lord which JW's say is of the rank of Jesus). And he said unto me, See thou do it not:I am thy fellow servant, and of thy brethren that have the testimony of Jesus:
Rev 22:8 And when I had heard and seen, I fell down to worship (proskuneo) before the feet of the angel which showed me these things. Then saith he unto me, See thou do it not:
Act 14:11 And when the people saw what Paul had done, they lifted up their voices, saying in the speech of Lycaonia, The gods are come down to us in the likeness of men.
Act 14:14 Which when the apostles, Barnabas and Paul, heard of, they rent their clothes, and ran in among the people, crying out.
Jesus did not turn away from worship:
Mat 8:2 And, behold, there came a leper and worshiped (proskuneo) him, saying, Lord, if thou wilt, thou canst make me clean.
Joh 9:38 And he said, Lord, I believe. And he worshiped (proskuneo) him.
Mat 2:2 Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship (proskuneo) him.
Mat 14:33 Then they that were in the ship came and worshiped (proskuneo) him, saying, Of a truth thou art the Son of God.
Luk 24:52 And they worshiped (proskuneo) him, and returned to Jerusalem with great joy:
Mat 28:17 And when they saw him, they worshiped (proskuneo) him: but some doubted.
Joh 20:28 And Thomas answered and said unto him, My Lord and my God. Jesus saith unto him, Thomas, because thou hast seen me, thou hast believed: blessed are they that have not seen, and yet have believed.
By JW standards (and Moslems), Jesus let these men sin.
Why did they 'worship' him?
1Ti 3:16 And without controversy great is the mystery of godliness: God was manifest in the flesh, justified in the Spirit, seen of angels, preached unto the Gentiles, believed on in the world, received up into glory.
Col 1:14 In whom we have redemption through his blood, even the forgiveness of sins: Who is the image of the invisible God, the firstborn of every creature:
Rom 8:39 Nor height, nor depth, nor any other creature, shall be able to separate us from the love of God, which is in Christ Jesus our Lord.
Rev 1:6 And hath made us kings and priests unto God and his Father; to him be glory and dominion forever and ever.
Joh 1:14 And the Word was made flesh, and dwelt among us, and we beheld his glory, the glory as of the only begotten of the Father, full of grace and truth.
Phi 2:5 Let this mind be, in you, which was also in Christ Jesus: Who, being in the form of God, thought it not robbery to be equal with God: But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men: And being found in fashion as a man,he humbled himself, and became obedient unto death even the death of the cross.