You cannot find the rate law from this data set. Not only are no concentrations held constant, but they are always varied in the same proportions. So if we said
Rate = k[ B]x[C]y
then we can write
k*0.2x*0.3y*1x+y = 1.02e-3
k*0.2x*0.3y*2x+y = 8.16e-3
k*0.2x*0.3y*3x+y = 27.5e-3
from which we can deduce x+y = 3, but cannot determine x and y separately.