Hi Susan!
Thanks for getting in touch with us! Let me try to help you with this topic.
We don’t have any specific integration built for BuddyPress and we are not aware of any known conflicts between the plugins. They should work smoothly alongside.
That said, I’m not really very familiar with how BuddyPress works and if there are specific functionalities that might not work with our plugins.
There is a third-party plugin that integrates The Events Calendar with BuddyPress which you can check out here > https://shop.opentuteplus.com/product/buddypress-events-calendar-plugin/
As you already have a license for Events Calendar PRO and Event Tickets Plus, I suggest you setup a dev/staging site so you can test things out and see if any issues arise.
Let me know if you have any follow up questions.
Best,
Victor