Final answer:
To reduce plasmid vector re-ligation, treatments II (removing the 5' phosphates of the vector by phosphatase) and III (digesting the vector with two different restriction enzymes) should be used.
Step-by-step explanation:
To reduce the frequency of re-ligation of a plasmid vector, the treatments II (removing the 5' phosphates of the vector by phosphatase) and III (digesting the vector with two different restriction enzymes) should be used. Removing the 5' phosphates prevents the vector from religating without the amplified DNA, while digestion with two different restriction enzymes increases the chances of getting the desired insertion. Therefore, the correct answer is A. II and III.