Step 1:
Karna, Śalya, Droņācārya, and Jayadratha are major characters of Mahābhārata.
Step 2:
Virādha belongs to the Rāmāyaņa tradition, not Mahābhārata.
Step 3:
Thus, Virādha should be excluded from the list.
Step 4:
Hence, the correct group is:
\[
A,\; C,\; D,\; E
\]
Therefore, the correct answer is:
\[
\boxed{\text{(1) A, C, D, E Only}}
\]