Do I need another LED?

The best way to tell is to mount it and raise or lower it till you have the area of light you want. A 32 x 32 is a fairly small footprint for light, so you may get away with one. If you DO see some dark corners, you can supplement with cfl's or Flourescent tubes mounted vertically in the corners.
 
That's about 19 watts per square foot. I would say that's quite low. At least one more 300 is needed althought, personally, I would be putting 3 Mars Hydro 300s in there.
 
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