There are many search options, but none that get the specific results you want.
The closest (i.e., most useful) you can get is the new My Tags feature (unanswered + interesting tags, sorted descending by votes). Or you can manually input your interesting tags and use the answers:0
search option to find questions with literally zero answers.
There's a feature request pending to add the ability to date filter search results, and there's also a feature request pending to add the ability to sort the My Tags feature by most recent first.
The one part of what you're asking for that will never happen is filtering by a users accept rate. Read this for context. (And before you ask, searching by users' reputation falls into the same category.)