Fig Rust: There will not be too much you can do to avoid it. As high as the humidity is in your area, it is almost like being underwater all the time (I'm still surprised I did not develop gills). You can try thinning out to let additional air flow, but do not expect miracles. As Charles pointed out, it is more of an ugly problem. If however, there is a period of extended rains (like a tropical storm) it is probable the tree will defoliate.
Pruning: Just before growth starts. Your trees will most likely never go dormant, but they will have a quiet period around late December into Janurary (and possibly in the middle of summer). The trees drop their leaves, but the terminal buds will mostly stay green. You should see them start to leaf out late-January or early-February.
Brebas and Pinching: I would not bother. Both techniques are geared towards speeding up the ripening of the main crop. Your season is long enough to ripen most varieties. Also, it begins early enough where you may have fruit not too long after trees up north are breaking dormancy.