No, resolutions are set at a global level, so they will appear in the resolution dropdown for each issue type in every project. The only way to achieve what you're after would be to have multiple instances of Jira, which I don't think is worth the hassle.
Yes, you can.
You do need to create every resolution you want to use globally.
But, you can use "workflow properties" to limit the list available to an issue type at any point in its workflow. (As you can do workflows per issue type and project, this is "resolutions by project). It is not nice to build and maintain though, most people who do it limit it to standard sets of resolutions, and only limiting in certain places.
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