No, restoring the database for this is like throwing the baby out with the bathwater.
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Your theme looks to be dependant on BP-Default, which WordPress is looking for in wp-content/themes/ (BP-D should never be there).
I am assuming that because BP-Default isn’t an available theme when BP is deactive (during an upgrade), it falls back to looking inside wp-content/themes/.
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Go to wp-admin > Themes, pick TwentyTwelve. Then upgrade BuddyPress, then re-activate BuddyPress, then switch back to your original theme.
