No run.
R2's run counts on the timing play because he passed the plate. When he returns to correct his baserunning error and touch the plate, the 3rd out has already been recorded. When he touches the plate, wave off the run.
If R2 does NOT return and the defense leaves the field, score the run. If R2 does not return and the defense appeals, grant the appeal.
As for the title question: there's nothing for the defense to appeal in the original situation.
I'm assuming OBR here.
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Cheers,
mb
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