Earned run or not

1st two cases - unearned. 3rd case - earned.

bballman has it, but simply put from OBR 10.16:
(a) The official scorer shall charge an earned run against a pitcher every time a runner
reaches home base by the aid of safe hits, sacrifice bunts, a sacrifice fly, stolen
bases, putouts, fielder’s choices, bases on balls, hit batters, balks or wild pitches
(including a wild pitch on third strike that permits a batter to reach first base) before
fielding chances have been offered to put out the offensive team. For the purpose of
this rule, a defensive interference penalty shall be construed as a fielding chance. A
wild pitch is solely the pitcher’s fault and shall contribute to an earned run just as a
base on balls or a balk.

There's more but this get's you the gist of it.