on the log in/register page can it be changes so user can

on the log in/register page can it be changed so user can choose there own password when register is selected ,currently it asks for a username and email it then takes you too a wordpress site and emails a password back? also does it not take details like address and phone number etc etc

im not sure I have the correct plug in here to be honest I just wanted anyone who visits site on the web to register , place an advert and then pay before it went live , is this plugin capable of such a task?