Somewhere around line 373, change this:
<div id="user-profile">
to this:
<div id="wp_sidebarlogin-4" class="widget widget_wp_sidebarlogin"><div id="user-profile">
Somewhere around line 395, change this:
<div id="wp_sidebarlogin-4" class="widget widget_wp_sidebarlogin"><div class="avatar_container" style="float:left;"><a href="<?php echo $wpms_user_url; ?>" title="<?php _e('Go to your blog homepage'); ?>"><?php echo get_avatar($user_ID,'48',get_option('avatar_default')); ?></a></div>
to this:
<div class="avatar_container" style="float:left;"><a href="<?php echo $wpms_user_url; ?>" title="<?php _e('Go to your blog homepage'); ?>"><?php echo get_avatar($user_ID,'48',get_option('avatar_default')); ?></a></div>
Somewhere around line 421, change this:
<div id="wp_sidebarlogin-4" class="widget widget_wp_sidebarlogin"><div class="avatar_container" style="float:left;"><a href="<?php bloginfo('url'); ?>" title="<?php _e('Go to homepage'); ?>"><?php echo get_avatar($user_ID,'48',get_option('avatar_default')); ?></a></div>
to this:
<div class="avatar_container" style="float:left;"><a href="<?php bloginfo('url'); ?>" title="<?php _e('Go to homepage'); ?>"><?php echo get_avatar($user_ID,'48',get_option('avatar_default')); ?></a></div>
If you are not confident enough to make these changes, I will be releasing a new update soon. With regards to your other issue, I would need to actually see exactly what is going on with using some different logins or if uncomfortable with that, then by using https://www.screencast-o-matic.com/ showing me the issues and the email me the url to the screencast.