BuddyPress.org

The failure to find buddypress.min.css is a clue.

What is pagespeed.ce ?
Ask your hosting provider if you aren’t sure.
It might be a cacheing plugin.
Or maybe a CDN.

First thing you should try is disabling all plugins, except buddypress. It could be in incompatibility with another plugin.

That folder will not exist in ftp.

Did you assign a page to the Members component?

wp-admin > Settings > BuddyPress > Pages

Assign a page to each item shown on that screen. You can create a page and assign it – but leave the page blank.

https://wordpress.org/plugins/buddypress/advanced/

Wordpress.org, search for the plugin, on the plugin page click advanced view, scroll to bottom and there should be an option to select previous versions for download.

I’m assuming you haven’t been taking backups if you are unable to roll back, now would be a good time to install updraftplus or similar so you have a backup available.

Another plugin is the path of least resistance if you don’t know how to code, don’t want to learn and don’t have a developer.

Adding the lost-password link is easy.
Just use one of the action hooks in the class for that widget.
I suggest you use this hook: do_action( 'bp_login_widget_form' );
For the hook context, see this file:
buddypress\bp-core\classes\class-bp-core-login-widget.php

If you don’t know how to code, share the hook info with your developer.

Are you using BP Nouveau? Are you using Cover-images?

if so you would need to overload the plugins/buddypress/bp-templates/bp-nouveau/buddypress/members/single/cover-image-header.php file:

1. Setup a child theme.
2. make a copy of cover-image-header.php
3. Edit line 23 of cover-image-header.php as follows:

Current:

<h2 class="user-nicename">@<?php bp_displayed_user_mentionname(); ?></h2>

edited:

<h2 class="user-name"><?php bp_core_get_username( bp_displayed_user_id() ); ?></h2>

4. place your edited copy of cover-image-header.php in themes/your-child-theme/buddypress/members/single

Have you ruled out conflicts with other plugins or your theme?

In a vanilla install this feature works so it’s reasonable to suppose there’s something in your specific configuration that is preventing this functionality.

Try deactivating all other plugins apart from BuddyPress and switching to a default theme such as 2019.

Have you investigated other login widgets that have this feature? For example https://wordpress.org/plugins/login-sidebar-widget/

The alternative is to raise a feature request on Trac https://buddypress.trac.wordpress.org/

Try downloading the latest version from here:

https://github.com/r-a-y/buddypress-followers

BuddyPress does not come with that option, it must be added by something else I’m afraid.