Reset/change password links different

The link you indicated for changing the password wouldn’t come from the plugin, so I’m not sure where/how you are producing this. WP-Members password change is part of the [wpmem_profile] shortcode, or can be set up separately with [wpmem_form password]. I recommend starting with [wpmem_profile].

http://rocketgeek.com/plugins/wp-members/docs/user-profile/
http://rocketgeek.com/plugins/wp-members/docs/shortcodes/form/#user_profile
http://rocketgeek.com/plugins/wp-members/docs/shortcodes/form/#password

The page you have for resetting the password and forgotten username (http://waterstone.celebratingyourjourney.com/log-inregister/log-in-problems/) is using the specific shortcodes for those processes. But if you just use the [wpmem_profile] shortcode, that will cover everything you need (forgot password, retrieve username, change password, update registration data).