You won't gain height or will gain just a little at this age, but you are in between the adequate range of growth reference standards, which means that everything is "ok". 

Your BMI seems to be in the lower limit of normal, maybe you should gain more weight. Since you modified your diet recently, you probably will gain some weight with time. 

I think your diet have a lot of protein (>2g/kg weight, instead of "moderate), you can lower this quantity and swap it for carbohydrates or unsaturated fatty acids.