Concept:
Electron gain enthalpy generally becomes more negative across a period and less negative down a group. However, there are important exceptions.
Step 1: Examine Pair I : \(F,Br\).
Electron gain enthalpy values:
\[
Cl>F.
\]
Also,
\[
F>Br.
\]
Since fluorine has a more negative electron gain enthalpy than bromine,
Pair I is correct.
Step 2: Examine Pair II : \(Na,Li\).
Lithium is very small in size.
Due to stronger electron-electron repulsion in the compact \(2s\) orbital, electron gain enthalpy of sodium is slightly more negative.
Hence,
\[
Na>Li.
\]
Pair II is correct.
Step 3: Examine Pair III : \(S,O\).
Oxygen is exceptionally small.
Incoming electron experiences strong repulsion.
Therefore,
\[
S>O.
\]
Pair III is also correct.
Thus,
\[
\boxed{\text{II and III only}}
\]