Step 1: Recall what each disease is caused by or spread by.
This question mixes two different ideas under the label "vector": the actual causative organism of scabies, and the true insect or tick vectors of the other three diseases.
Step 2: Match Scabies (A).
Scabies is not spread by a biting insect. It is caused directly by the mite Sarcoptes scabiei burrowing into the skin. So A matches with 3, Sarcoptes.
Step 3: Match Fish Tapeworm (B).
Fish tapeworm, Diphyllobothrium latum, uses a small water crustacean called Cyclops as its first intermediate host. A person gets infected by eating undercooked fish carrying the larval stage that came from infected Cyclops in water. So B matches with 2, Cyclops Infestation.
Step 4: Match Relapsing Fever (C).
Relapsing fever, caused by Borrelia species, has two forms: louse borne and tick borne. The tick borne form is spread by the soft tick, genus Ornithodoros. So C matches with 1, Soft Tick.
Step 5: Match Kyasanur Forest Disease (D).
Kyasanur Forest Disease (KFD), a viral hemorrhagic fever first found in Karnataka, spreads through the hard tick, mainly Haemaphysalis spinigera. So D matches with 4, Hard Tick.
Step 6: Check the code combination.
Putting these together gives A-3, B-2, C-1, D-4, exactly the combination listed under code (a). The other three codes swap these pairings around, for example code (b) wrongly puts A with 4 and D with 3, which mixes up the disease-vector links worked out above.
Step 7: Final Answer:
\[ \boxed{A\text{-}3,\ B\text{-}2,\ C\text{-}1,\ D\text{-}4} \]