Automatically check 'remember me' login checkbox.

bp-remember-me.php

<?php
function bp_login_checked_remember_me_back() {
	add_filter( 'login_footer', 'bp_login_remember_me' );
}
add_action( 'init', 'bp_login_checked_remember_me_back' );

function bp_login_remember_me() {
  	echo '<script type="text/javascript">document.getElementById(\'rememberme\').checked = true</script>';
}
add_action( 'wp_footer', 'bp_login_remember_me' );
?>