Two months ago, I posted about our upstairs a/c not cooling all of a sudden. I ended up replacing the capacitor for the blower fan and the contactor, which did the trick. AC cools!!!  However since then, there has been increased humidity upstairs (>60%), and I just can't figure out why. We keep the temperature between 75-78, and live in NC.  It seems to be related to this unit, as the downstairs air at the same temperature, has lower humidity (<60%).

As I understand, humidity comes out of the air as it is cooled across the coils, in the form of condensation. It is captured in the pan under the evap coils. There is a drain to evacuate water to an overflow pan from the pan beneath the coils when it gets to a certain level. 

Please tell me what else I am missing from my understanding of how air is dehumidified in a central ac unit (without a separate dehumidifier). I don't know if there is a fan that "evaporates" off the condensation like there is with a refrigerator or freezer.

This is what I've inspected/done:
-Inspected drain pan, which was bone dry.
-Accessed the evap coil, and found 1/2 inch of water which I drained. No blockage to the overflow pan.  There is some rust on coils and at the bottom of the pan, but I didn't see any pitting or obvious leaks. 
-Fins over the eval coils were pretty clean - no dust. 
- Cleaned the fins on the coils in the outside unit which were dusty

There must be something fundamental I don't understand, because if unit is cooling to the correct temperature, it seems that we don't have a cooling or a handling issue. But why would humidity be an issue now, if it wasn't before, and particularly, only on this one unit.