In June I would be big on the sit down places, if only to have a place to sit and get away from the heat. June in Florida is pretty flippin' hot.
Also, if I'm not mistaken, Pirates has already re-opened. Nothing much has changed in the ride, only a new slap of paint and tidying up of the existing ride.
FYI, a great place to find news of closings and refurbishments is right here:
Walt Disney World Refurbishments and Closings