Concept: Library automation software must be evaluated carefully before selection because it affects cataloguing, circulation, acquisition, OPAC and serial control.
Step 1: Check vendor validity.
Vendor validity is important because the library must know whether the vendor is reliable and can provide support.
\[
A = \text{Important criterion}
\]
Step 2: Check hardware and third-party software requirements.
Software should match available hardware and required supporting software.
\[
C = \text{Important criterion}
\]
Step 3: Check performance testing.
Performance testing is important to check speed, reliability and accuracy of software functions.
\[
E = \text{Important criterion}
\]
Step 4: Reject resale value.
Resale value is not a standard criterion for evaluating library automation software.
Therefore, the correct set is:
\[
A,\ C,\ E
\]