I am pleased to see you quote Scripture as it allow me the opportunity to correctly do the exegesis of said Scriptures.
1 Peter 3:21.............
"Baptism, which corresponds to this, now saves you, not as a removal of dirt from the body but as an appeal to God for a good conscience, through the resurrection of Jesus Christ."
You are using this verse to say that baptism is required for salvation. Is it?
A thorough look at the passage demonstrates that 1 Peter 3:21 does not teach that baptism is necessary for salvation. The correct understanding is that it uses water baptism as an illustration of salvation. In the verses surrounding verse 21, Peter used Noah's ark as a similar example. The verse itself shows that it is not the act of baptism that saves but the "appeal to God for a good conscience" that baptism represents. Baptism is an expression of one's faith in Jesus Christ for salvation. It is Christ who saves; baptism is a signifier of that reality.
The thief on the cross next to Jesus accepted Christ but he died on his cross. Jesus said that TODAY he would be in Paradise with Christ. Do you think that the Romans took him down and baptized him or do you think that God lied?????
You said that Acts 22:16 it washes your sins away.............
What do the words "wash away thy sins" mean? Do they teach that water baptism brings salvation?
Answer: No. Because Paul was already cleansed spiritually. Water baptism is an outward picture expressing God's inner work of washing away sin.
The Bible says that ......
"But ye are washed, but ye are sanctified, but ye are justified in the name of the Lord Jesus, and by the Spirit of our God."
The Bible also so says that our sins can only be cleansed by the SHED BLOOD OF JESUS my friend, not a dip in the pool.
Then you use Titus 3:5 ..........
"
Not by works of righteousness which we have done, but according to his mercy he saved us, by the washing of regeneration, and renewing of the Holy Ghost".
Surely you can not believe that that verse is telling you that you must be baptized in water to be saved. The washing of rebirth can only be that washing of the blood of Christ that cleanses us. It is not the symbol that saves but the reality. The reality is the blood of Christ.
If I can be of any help with any Scriptures, please post what is a concern for you and I will be glad to help you.