My question is, is your getting baptized 3 weeks after you confessed your faith of Christ consistent with what the Bible teaches? 
Let's look:
The Ethipian Eunuch 
Acts 8 34 So the eunuch answered Philip and said, I ask you, of whom does the prophet say this, of himself or of some other man? 35 Then Philip opened his mouth, and beginning at this Scripture, preached Jesus to him. 36 Now as they went down the road, they came to some water. And the eunuch said, See, here is water. What hinders me from being baptized? 
37 Then Philip said, If you believe with all your heart, you may. 
And he answered and said, I believe that Jesus Christ is the Son of God.[c]
38 So he commanded the chariot to stand still. And both Philip and the eunuch went down into the water, and he baptized him. 39 Now when they came up out of the water, the Spirit of the Lord caught Philip away, so that the eunuch saw him no more; and he went on his way rejoicing.
Was he baptized 3 weeks later? No. Also, take note of when he went on his way rejoicing. Why AFTER baptism? Why not when he proclaimed his faith? 
The Philippian Jailer
Acts 16 25 But at midnight Paul and Silas were praying and singing hymns to God, and the prisoners were listening to them. 26 Suddenly there was a great earthquake, so that the foundations of the prison were shaken; and immediately all the doors were opened and everyones chains were loosed. 27 And the keeper of the prison, awaking from sleep and seeing the prison doors open, supposing the prisoners had fled, drew his sword and was about to kill himself. 28 But Paul called with a loud voice, saying, Do yourself no harm, for we are all here. 
29 Then he called for a light, ran in, and fell down trembling before Paul and Silas. 30 And he brought them out and said, Sirs, what must I do to be saved? 
31 So they said, Believe on the Lord Jesus Christ, and you will be saved, you and your household. 32 Then they spoke the word of the Lord to him and to all who were in his house. 33 And he took them the same hour of the night and washed their stripes. And immediately he and all his family were baptized. 34 Now when he had brought them into his house, he set food before them; and he rejoiced, having believed in God with all his household.
Was he baptized 3 weeks later? No. With all that went on here, why the urgency? Why not wait until the morning? Why in the middle of the night (after midnight)? Take special note of when it says, "having believed in God." It was AFTER the baptism, and that's why he rejoiced AFTER the baptism.
Paul
6 Now it happened, as I journeyed and came near Damascus at about noon, suddenly a great light from heaven shone around me. 7 And I fell to the ground and heard a voice saying to me, Saul, Saul, why are you persecuting Me? 8 So I answered, Who are You, Lord? And He said to me, I am Jesus of Nazareth, whom you are persecuting. 
9 And those who were with me indeed saw the light and were afraid,[a] but they did not hear the voice of Him who spoke to me. 10 So I said, What shall I do, Lord?[/B] <----- RIGHT HERE, PAUL BELIEVES. Is he saved? 
Continue on...
And the Lord said to me, Arise and go into Damascus, and there you will be told all things which are appointed for you to do. 11 And since I could not see for the glory of that light, being led by the hand of those who were with me, I came into Damascus. 
12 Then a certain Ananias, a devout man according to the law, having a good testimony with all the Jews who dwelt there, 13 came to me; and he stood and said to me, Brother Saul, receive your sight. And at that same hour I looked up at him. 14 Then he said, The God of our fathers has chosen you that you should know His will, and see the Just One, and hear the voice of His mouth. 15 For you will be His witness to all men of what you have seen and heard. 16 And now why are you waiting? Arise and be baptized, and wash away your sins, calling on the name of the Lord. 
Did Paul wait 3 weeks? No. Why? Because baptism is urgent. He wasn't saved from his sins when he believed, and HE NEEDED TO BE SAVED NOW. Take note of when it says he was "calling on the name of the Lord." AFTER the baptism. 
Speaking of calling on the name of the Lord, IPOrange, why is this important? Simple:
Matthew 7 21 Not everyone who says to Me, Lord, Lord, shall enter the kingdom of heaven, but he who does the will of My Father in heaven. 22 Many will say to Me in that day, Lord, Lord, have we not prophesied in Your name, cast out demons in Your name, and done many wonders in Your name? 23 And then I will declare to them, I never knew you; depart from Me, you who practice lawlessness!