If you have standard single site installations of WordPress then BPS is installed on all separate/individual standard single WordPress websites. If this is a Network/Multisite subdomain installation of WordPress then BPS is only installed once on the Network/Multisite installation of WordPress.
Typically you only need to use 1 plugin feature that does a similar or the same thing. Login processing is a completely different animal than most other things in WordPress. WP Login processing Hooks – Actions and Filters can usually only be used by 1 plugin feature and other plugin features that are using those same Login processing Hooks will be overridden. So you will need to do some testing to see what things do and do not work together and then choose which things you want to use and turn off things that do not work.