Yes, they both have balconies, the courtyard view can be any thing from a courtyard to the pool, woods is basically trees, very large trees and lots of them. Every time we have stayed there we either had standard or woods view booked and every time we were upgraded to courtyard view.
I wouldn't pay extra for the courtyard view. I have stayed in both views. I found the woods very peaceful and soothing. The next stay we booked Courtyard as part of an anniversary celebration. I was so excited telling my kids that we were overlooking the rock work and meandering stream. We ended up with a view on the other side of the building overlooking the DVC villas. What a disappointment , especially since we paid extra for that view!