The persuasion plot hole goes like this:
At some point in your story one character has to convince another character of something or persuade him to do something.
For example, Dick hates the ocean. He hates the smell of it and the movement of it. He would never, ever in his wildest dreams agree to go out on a boat, in the middle of the night, with a complete stranger. Miraculously, in Chapter Ten, he does just that because a blonde bombshell says, "Let's take a ride."
There is a saying that you always have a choice unless you have a gun pointed at your head. I would argue this further. If someone has a gun pointed at your head, you actually have three choices. You can call their bluff. You can fight back and hope they are a crappy shot. You can believe that dying is a better alternative to doing whatever they want you to do.
Persuasion is an art form. Toddlers learn it early. They widen their eyes, brighten their smiles, and ask, "Pretty please?" They hammer you with, "Why?" They stun you with the logic of, "But I don't want to." Your characters will be much the same when they attempt to persuade or dissuade another character.
Characters follow certain patterns.
The situation and character personalities will dictate which persuasion tactics are used and whether they are successful.