I did some looking at the search help and tried out the options but nothing seemed to work. How do I found questions that are unanswered AND IN one of my favorite tags?
Click on the Unanswered tab, scroll down to you Favorite tags section, then click on the tag. Example: https://stackoverflow.com/unanswered/tagged/java
If you want to see questions that have zero answers (as opposed to questions with no upvoted answers, which is what you get on the Unanswered tab) then you can use "answers:0" in the search box. Example: