I give a 1-star rating very rarely and usually only in these two cases:
1) It's a hanging piece problem where the opponent just left his queen hanging. Or the hanging piece is checking your king, so you have to take it. I don't give 1-star to other hanging piece problems, where a bishop or knight is hanging. I give 2 stars to those problems.
I don't give a lower-than-3 star rating because of a hanging piece. I figure that the skill rating system takes care of that. Some hanging piece problems have error rates that are surprisingly high. If a problem empirically proves to be easy, its low skill rating will direct it to those who can benefit from it.
I do agree about forced moves. I also give a low star rating when the piece moved by the computer before your first move is left hanging, unless there is some complication that would make you think. It's likely to be the first thing people look at.
Perhaps there should be a list of evaluative tags, separate from the tags for tactic category.