1. Yes.
2. Just Azurill and Wynaut. Their Incences can be found in the Lost Cave. (You can also get Deoxys if you somehow have access to the Auroraticket.)
3. It's the same: 1/8192 = 0.01220703125%.
4. 7. Cut, Fly, Surf, Strength, Flash, Rock Smash, Waterfall. You can NOT trade HMs. If you want Dive as an attack (don't), you must trade to Ru/Sa/Em.
5. You can get lots from Pickup and there are some lying on the ground as items. They respawn in the Berry Forest.
6. What are you asking? You can still name your Rival and, of course, yourself.[/QUOTE]