Answer: A, C
The compound is (R)-methyloxirane. In (i) the nucleophile attacks CH2, so the stereocentre is untouched and its arrangement is retained; the product is R-1-methoxypropan-2-ol (RDKit), so the claim that it is (S) is wrong. In (ii) methanol attacks the secondary carbon with inversion, giving (S)-2-methoxypropan-1-ol. The two conditions give different constitutional isomers. Correct: first and third.