BuddyPress.org

Do you need an external bbPress installation? If you don’t know why you need external instead of an internal install, you need to use internal — go to the wp-admin panel > BuddyPress > Forums Setup > “new installation”

However, I don’t think this would break the URLs. You have a lot of plugins. Please can you disable them all AND revert to bp-default, and see if it is still broken? If it works, re-enable plugins one at a time and test until it stops working.