Kind of confused with constructor parameter and method parameter.

So like in the example we made a simple class with a name field

public class PezDispenser{
private String mCharacterName;

//constructor
public PezDispenser(String name){
mCharactername = name;
}

//method
public String getCharactername(){
return mCharacterName;
}
}

My question here is why did we give an argument to the constructor with the name? wouldn't we be able to do that in a method like we did for calculating PezCount ?

Let me put it this way, what if I wanted to create a mLastName field and a mGender field. Would I have to set arguments in the constructor instead of making a method?

Like would I have to do:

public class PezDispenser{
private String mCharacterName;
private String mLastName;
private String mGender;

//constructor
public PezDispenser(String name, String lastName, String gender){
mCharactername = name;
mLastName = lastName;
mGender = gender;
}

//method for getting name
public String getCharactername(){
return mCharacterName;
}

//method for getting last name
public String getCharacterLastName(){
return mLastName;
}

//method for getting gender
public String getGender(){
return mGender;
}
}

and if so that means I would need to make a new name, lastname and gender when creating a new instance because they are not all the same correct?

Example:

PezDispenser dispenser = new PezDispenser("Lucas", "Santos", "Male");

Can someone please elaborate a bit on when to give arguments to a contractor and a method, thats the parts thats confusing me because in the example we did not return the PezAmount like we did the mCharacterName

Thank you!