1) Remember me sets cookies with username and password values and pre-populates the two fields. Auto login will check if the cookies exist and will log you in and skip the login page entirely. Remember me is required for Autologin to work and not the other way around.
2) You use cookies toolkit to set the cookies and set the initial values of the form elements from the cookies, and then you apply the login server behavior a second time on the page with the same settings as the first only using the cookie values for the username, password, and trigger... maybe run the wizard again on another page and look at what it does as a sample.