Concept:
The Sarnath Museum preserves important Buddhist sculptures and Mauryan remains associated with:
• Emperor Ashoka
• Gupta Buddhist sculpture
• Dharmachakra tradition
Step 1:
The famous Lion Capital of Ashoka is housed in:
\[
Sarnath Museum
\]
It belongs to the Mauryan period and is India's National Emblem.
Thus, option A is correct.
Step 2:
The celebrated Gupta Buddha image showing:
\[
\textit{Dharmachakra Pravartana Mudra}
\]
is also housed in the Sarnath Museum.
Thus, option C is correct.
Step 3:
Krishna Lifting Mount Govardhan (B)
Associated with Mathura and other Hindu sculptural centres.
Buddha from Mirpur Khas (D)
Belongs to Sindh region collections.
Vishnu Anantasayana (E)
Associated with Hindu temple sculpture, not Sarnath Museum.
Therefore, the correct pair is:
\[
A \text{ and } C
\]
Hence, the correct answer is:
\[
\boxed{\text{(1) A and C only}}
\]