Basically in the first three, the two meanings are the same, though I would say 'kind' is slightly more explicit than the vaguer 'nice'. I suppose you could be nice [friendly, cheerful etc] without being all that kind [considerate, generous]. For 4, 'kind invitation' is a fixed phrase/ collocation, so it is best to stick to it.
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AnonymousHi,Is 'kind offer' a fixed phrase?Do nice and kind sound natural in the sentences #2 and #3 and they mean the same?1. Jane is a nice/kind person. She’s really friendly and is always willing to help other people. 2. Thomas is such a kind/nice man. Yesterday, he gave a homeless person $10 to buy some food.Thanks.Hi,