Tune C integra - I believe comes with the spoon options. ie: carbon bonnet, carbon side mirrors and front skirt also in carbon and spoon black wheels.
Many would argue that since it is the car with the 'lightest' mods, it has the best pick up or speed overall. (i am indifferent as i really cant tell the difference between A tune or C tune or B or D for that matter. whichever tune i use, i still get 2:56 on Myogi (1st track) and am trying hard to press for 2:55. keeping consistnecy on 2:56 is hard enuf.).
Following that line of thought, you can either leave it as it is and learn how to master the car using that tune or if you want, when the c west or mugen 'spoiler' / 'wing' comes up during parts change, you may want to try that. That should give you slightly more stability during high speed corners (though i really cant tell the diference). But you can give it a try. If it doesnt work for you, you can always change back when they re-offer the original honda spoiler during parts change.
As for wheels, your spoon black wheels looks really nice. Is it faster than other wheels? I really cant say. There are so many factors to improve in the game (ie: gear shift timing, tackling corners, getting the perfect line etc) that i just go for the wheels that looks nice and concentrate on other factors to improve my timing.
Hope this has helped.
