Step 1:
Gita-Govinda was composed by Jayadeva, while Śṛngāra-Śataka was written by Bharthari.
\[
A \rightarrow III,\quad B \rightarrow I
\]
Step 2:
Meghadūta is the famous lyrical poem of Kālidāsa.
\[
C \rightarrow IV
\]
Step 3:
Caurapañcāśikā was written by Bilhaņa.
\[
D \rightarrow II
\]
Step 4:
Thus, the correct sequence is:
\[
A-III,\; B-I,\; C-IV,\; D-II
\]
Hence, the correct answer is:
\[
\boxed{\text{(2)}}
\]