Will I have a video card PSU problem

It has 4 18A rails, which is plenty. And the card doesn't draw nearly 18A, they just recommend that the power supply has that considering there are other components that draw power.

The 9800GTX+ pulls 160W at max load
160W/12V = 13A

And you have a max wattage of 580W on the +12V rail. That PSU will be fine.
 
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