1. She will go back home soon. ['Will' is not stressed. No volition of the subject]

2. She will go back home soon. ['will' is stressed]
2-2. She intends to go back home soon.
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When 'will' is stressed, does #2 mean #2-2?

3. She won't go back home soon. [simple future, no volition of the subject]
4. She won't go back home soon. ['won't' is stressed, refusal of the subject]
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Does #3 mean expectation or possibility? Do you stress 'won't' in that case?
In #4, when we stress 'won't', does this sentence mean the strong refusal of the subject?

You are correct about all these.

=)

In the case of sentence #2, where "will" is stressed, it can convey a different meaning compared to sentence #2-2, which states an intention. When "will" is stressed in #2, it implies that the speaker is emphasizing a future certainty or prediction. So, in this case, #2 does not necessarily mean the same thing as #2-2, which explicitly expresses an intention.

Moving on to #3, which states "She won't go back home soon," this sentence generally indicates a simple future action without any volition from the subject. In this context, it typically conveys an expectation or likelihood that the subject will not return home in the near future. "Won't" is not typically stressed in this case because it is simply expressing the negative form of "will" and does not carry any additional emphasis.

However, in #4, if "won't" is stressed, it conveys a strong refusal or denial from the subject. The emphasis on "won't" indicates that the subject is making it clear that they absolutely do not intend to go back home soon. So, stressing "won't" in #4 intensifies the refusal expressed by the subject.

To summarize:
- When "will" is stressed in #2, it emphasizes a future certainty or prediction, differentiating it from #2-2, which expresses an intention.
- In #3, "won't" does not typically carry stress and indicates an expectation or likelihood.
- In #4, stressing "won't" intensifies the refusal expressed by the subject.