no it's his third. He has the other corners. Even if they are only 1 each.
Also, with the 4-4, what's a good way to make a joseki?
Assuming I understand what you're saying, it's normal - if you're black (thus taking the first move) then if white allows you to create a large potential area you'll always be one step ahead of his large area (assuming decently good play on both sides of course) so often white will split the side before black can continue.
B2 Bomber is definitely a farce. It's generally poor shape - if it arises from two peeps at a double tiger's mouth connection, one would prefer to resist the second peep if possible.
http://senseis.xmp.net/?33PointInvasion
That's joseki for the 3-3 invasion of the 4-4. For a normal approach, the kite is the simplest. (keima on the opposite side of the approach, white slides to the second line, black blocks at the 3-3, white pulls back with a two-space extension) None of them are going to be perfect in every situation - the reason that different patterns are played by professionals is because the situations at the end of the joseki affect the potential areas on the rest of the board, and thus the strategy of the game. But that's enough to keep you from getting killed or too badly squeezed at the beginner level.