When i came to the Lord in 1978, that's how it happened for me.
First, I heard the word of my salvation...my sin before God, my need of a Saviour, and then..."whosoever believeth in Him should not perish, but have everlasting life."
After I believed on Christ, I began to sense the importance of repentance, and began confessing my sins to the Lord.
I did not repent first, I
believed first.
That is the exact, same thing I see in the passage I quoted...when they, heard, they were "pricked" in the heart, and then they asked Peter what they should do.
What did Peter tell them?
Repent and be baptized.
Why did they "need" to repent?
Because repentance is a heart attitude that characterizes a child of God...it does not facilitate, or "trigger" anything.
Genuine repentance must be
present in a person if they are saved...it is not a "prerequisite".
May God bless you sir.