Concept:
Identifying the geographic locations of significant terracotta temples and Islamic monuments in West Bengal.
Step 1:
The Shyam Roy Temple is one of the most famous terracotta monuments, renowned for its pancha-ratna (five-towered) style. It is located in the temple town of Vishnupur. (A-III)
Step 2:
The Tantipara Masjid is an important brick mosque known for its intricate terracotta ornamentation. It is located in the ruined historical city of Gaur (Malda). (B-IV)
Step 3:
The Motichur Masjid is a prominent historical monument located in Rajnagar (Birbhum district). (D-I)
Step 4:
By the process of elimination, and aligning with local geographic history of terracotta architecture variations, the Radha Ballabh Temple in this specific context maps to Krishnanagar. (C-II)
Step 5:
Matching these gives A-III, B-IV, C-II, D-I, which corresponds to Option 3.
\[
\boxed{\text{(3) A-III, B-IV, C-II, D-I}}
\]