Ok, I read the Odyssey like... 10 times so, I cant read the top question, but the answer the second one is,
He offers to pay him back with an alliance after he makes it home. The vow is important because Odysseus was arguably the most powerful ruler at the time. So, an alliance with him would help Alcinous a lot.
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In the passage Brutus claim to Cassius that is he going to be able to see thing that are not there and Cassius replies that he will work as a mirror for him and help him to see the things he don’t see and support that he is honest and trustworthy telling Brutus several bad behavior that would make him doubt of Cassius and finish saying “then hold me dangerous” meaning that if Brutus see Cassius doing that things, only then he could think that Cassius is dangerous.
If you don't you will look un-professional which is not what you want.