Step 1: Check Statement I.
Thoracic spiracles remain open during inspiration.
Hence Statement I is false.
Step 2: Check Statement II.
Symbiotic bacteria occur in mycetocytes, not oenocytes.
Hence Statement II is false.
Step 3: Check Statement III.
The stomodaeal valve occurs between gizzard and mesenteron.
Hence Statement III is true.
Step 4: Check Statement IV.
Alary muscles assist circulation of haemolymph.
Hence Statement IV is true.
Thus,
\[
III \text{ and } IV
\]
are correct.
\[
\boxed{\text{Option (B)}}
\]