Your diet looks essentially starch free and clearly not sugar free. Ditch the fruit, milk and coconut, all containing sugar, for sweet potato (a little bit of sugar), high fat cheese and white rice.
Starch is a much safer source of carbs than sugar.
F 5 ft 3. HW: 196 lbs. Primal SW (May 2011): 182 lbs (42% BF)... W June '12: 160 lbs (29% BF) (UK size 12, US size 8). GW: ~24% BF - have ditched the scales til I fit into a pair of UK size 10 bootcut jeans. Currently aligning towards 'The Perfect Health Diet' having swapped some fat for potatoes.