It depends. Last Monday, they went hunting in the woods. Before leaving, they had told the innkeeper that they would hunt again the next day. "they would hunt" = future in the past (the future after last Monday). Today, they went hunting in the woods. Before leaving, they had told the innkeeper that they will hunt again tomorrow. "they will hunt" = future More information: https://www.ef.com/ca/english-resources/english-grammar/tense-changes-when-using-reported-speech/ https://www.ef.com/ca/english-resources/english-grammar/changing-time-and-place-references/

Very good question. 'They went hunting in the woods. They will go hunting again tomorrow morning.' is correct. It is 'They will be...' because you are talking about a definite future action, i.e. tomorrow morning we will definitely go hunting again.

Both work. "Would" expresses less certainty. "Will" expresses more certainty.