No, Nike does not sell these golf balls, they are made specially for Tiger Woods.
The Nike One Tour.
He is endorsed by Nike, Gillete, and Gatorade
Nike Air Zoom TW 2009.
yes
Tiger Woods uses a Nike Jacquard golf towel as he is sponsored by the brand. You can purchase towels similar to what Tiger uses from Amazon as well as the official Nike store.
No, Tiger Woods has not been dropped by Nike, they are sticking with him for the mean time.
No, but he is their biggest name.
Nike
You can email Nike through their website, although I wouldn't hold your breath.
Tiger Woods endorsements include: Nike Lasik eye surgery
Tiger Woods uses Nike Golf Clubs. Every single one of the 14 clubs in his bag are Nike - In July 2010 he switched from his Scotty Cameron putter (the only non Nike Club in his bag) to a Nike Method, he currently uses the Nike Method 003.