Doug said- "There is also no Scripture that says that a person can be saved by themselves."
You have to be blind to believe that. If that were true, then there would be no hope of eternal life for any man, woman or child, who is alone, and finds himself/herself in a near-death situation - which is something, unfortunately, that happens frequently in this world - and some actually die. They're called "death-bed" conversions. Think of the twin towers. Many poor victims had time to repent and be saved before the towers came crashing down on them. But there was no possibility of them getting baptized. Thank God that it doesn't take 2 people, and baptism, for 1 person to be saved!
"Whoever will call on the name of the Lord will be saved." How many persons are referred to here? One! Any person who calls on His name will be saved.
"Truly, truly, I say to you, he who believes has eternal life." How many persons are referred to here? One!
"I am the living bread that came down out of heaven; if anyone eats this bread, he will live forever; ... " Any ONE person.
" ... and you are unwilling to come to Me so that you may have life." Any person, alone, can come to Him and receive eternal life. Not so with your doctrine.
"Truly, truly, I say to you, he who hears My word, and believes Him who sent Me, has eternal life, and does not come into judgment, but has passed out of death into life." One person who hears His word and believes in God who sent Him, has eternal life. No other person is required for salvation.
"I am the door; if anyone enters through Me, he will be saved." One person entering through Jesus.
"If anyone is thirsty, let him come to Me and drink. He who believes in Me, as the Scripture said, 'From his innermost being will flow rivers of living water.' " One person who believes in Jesus can be saved.
"I am the light of the world; he who follows Me will not walk in darkness, but will have the light of life." One person, alone, can be saved.
No scripture tells a teacher to baptize a student. A disciple, a born again follower of Jesus, i.e. a Christian, is told to make other disciples, i.e. other Christians. Then when they have become Christians, he is told to baptize them.
There's no scripture that says that salvation is received during baptism. Rather, baptism is a figure of salvation - enacting the death, burial, and resurrection of Christ.
Jesus tells us what action we are to take to be saved - "This is the work of God, that you believe in Him whom He has sent."
Your conjecture that one man can only be saved when a 2nd man baptizes him, is completely contrary to Scripture.
In your false doctrine, it takes 2 men for 1 man to be saved.