Puzzlarian Golf

The small country of Puzzlaria has recently completed construction of its first golf course... called the Problematic Hole. Four residents decide to give the new course a go. Ross, DualAspect, Karl, and Knightmare met at the first tee and began the round.

At the end of the round, their caddies were heard making the following comments:

1. The player with highest score did not lose the fewest or the most balls.
2. The one with the second lowest score, who was not Knightmare, did not lose more than three balls.
3. The player with lowest score did not lose four balls.
4. The one with highest score lost more than two balls.
5. DualAspect did not lose more than three balls or fewer than two balls.
6. The player who lost only one ball was not the one with the lowest score.
7. Neither Knightmare, who was not the one with the highest score, nor Ross, lost more than three balls.

What was the scoring order, from lowest to highest? ... how many balls did each player lose?