New Quizzes is not yet available in the Canvas Free for Teachers edition. Items 2 and 3 can be done with Legacy Quizzes, but item 1 cannot be done.
In Legacy Quizzes, the point value is determined by the points within the quiz, but the answers are either right (full points) or wrong (0 points). You could accomplish item 1 by going through and manually adjusting the fudge points on the quiz after it has been taken. This is going to be difficult to do automatically since there is no easy way to distinguish a non-answer 0 points from a wrong answer 0 points. You could use the student analysis under Quiz Statistics to see whether a student answered or not.
There is another way to accomplish this, again not automatically, if you are using weighted assignment groups. Create an assignment group worth 0% of the grade and put the original quiz in there. In the place where the quiz would have gone, create a fake assignment with no submission for the type. Then go through and calculate the scores for the quiz and put them into the fake assignment after they have been adjusted.
This discussion post is outdated and has been archived. Please use the Community question forums and official documentation for the most current and accurate information.