1) DFA lenses work on FF 100%.
2) Some DA lenses work on FF, but some have dark/very low quality edges.
3) Because of the dark edges, it makes sense to crop. Crop just means to cut off the edges
4) The crop mode automatically cuts off the corners (or doesn't even record them) according to APSC sensor size (to about 15-16MP)
5) You can search the thread
here or use
this function to check which lenses are FF, or you can just look in the viewfinder and decide whether you want to crop or not
6) If you shoot raw, you can crop in post. You can crop as little or as much as you want. You can crop to APSC or you can crop a less or more.
7) The Auto crop mode will use an internal database to decide which lenses should be cropped. Or you can choose the setting manually.
Because the edges get cut off, the amount of MP becomes reduced, and the apparent Field of view looks different. Its like taking a postcard and cutting off the sides.
Hope these bullet points illuminate the issue a bit more