Your confusion is understandable.
If you consider the definition of linear phase FIR filter and the associated symmetry conditions on their impulse responses, then you can arrive the conclusion that the first two cases
$$ h_1[n] = [0,0,0,1,0] $$
$$ h_2[n] = [0,0,0,0,1,0,0,0,0,0,1] $$
are non-symmetric. However, as you use zeros and ones in those ...