Now that QShip is done messing around with you...
If you're pressing the gas really hard - it sounds like the VDC is working. As in, you are spinning the tires and the car is counteracting that. Have you tried using the cancel switch for the VDC? You need to read the owner's manual to see how it operates... if you don't have a paper copy you can get a free one at
http://www.infinititechinfo.com
The starting issue sounds a lot like another post here about an '02 with a bad starter solenoid. The dealership charged him about $750 to replace the starter if I remember correctly. If you're handy, you might try replacing just the solenoid, which is much cheaper. Depends on the value of your time, or how much you're paying for labor if you're having someone do it (maybe twice).
Heath