I see it the same as RPD. Example No. 1 is always an FC for the batter.
Example No. 2 is just a 9-3 putout on the batter with the runner advancing to second on the play. You wouldn't score an FC on a slow groundout to first that advances the runner even though the batter was put out (like many scorers, I would note the baserunner's advance by placing a number--either the batter's uniform number or the batter's position number--next to second base in the scoring box for the baserunner). The only possible exception is if you felt that the rightfielder could have ALSO forced the baserunner at second, and had a choice of who to throw out. However, you did not describe the play that way, so I would go with RPD's explanation.
Example No. 3 is also scored the same as in Situation 1.