Hi Dylan,
Thank you for buying our theme. We hope it will meet all your expectations! 🙂
The social links are displayed thanks to a menu. To edit them, please go to Dashboard > Appearance > Menus and select the Join Community menu. Then, you’ll be able to change the text and the link of each item, even add more social accounts.
Concerning the Register page, note that the registration form is manage by BuddyPress plugin, not our theme. This form cannot be edited directly. However, you can create new member profile field and choose to display them in the registration form. For more about this, please read the following post:
https://codex.buddypress.org/getting-started/guides/modifying-the-registration-form/
To add a recaptcha, I think this topic from BuddyPress support might help you: Registration Captcha Verification.
Let me know if you need more explanations.
Cheers,