The only thing that's annoyed me a little so far is those damn spores that you get, it makes traveling a pain and fights go terribly. Then you have to walk all the way back to the hospital. Also disliking how it seems Ness always seems to miss his hits...
But everything else in the game has been incredible so far, it's pretty tough, and this is my first play through of the game ever so I guess we'll see how it goes!
I actually didn't mind the spores. If I recall correctly, it rotates your controls instead of randomizing them. So try rotating the controller so that the D-pad works normally (from your perspective).
As far as Ness... For one thing, stick to baseball bats. Weapons determine accuracy, and almost all of the "standard" weapons have very good accuracy.
How I receive money from Dad? Just from walking, or battles? Or somethong else?
Battling. You get money from defeating enemies like in any other RPG, but you don't pick it up right away.