To answer your 2nd question: “Also, is there a way to assign specific moderators to specific boards. Say a user is a moderator, but I don’t want them to moderate all boards, just specific boards. Is that possible?”
– They have a 9 year old ticket open to add this feature to bbPress.
https://bbpress.trac.wordpress.org/ticket/459
Looks like it is almost complete. The current plan is release with version 2.6 (current version is 2.59). With such an old ticket, history suggests is could get pushed back to later versions though.
