I count two earned runs and three unearned runs. The ground out by Batter 6 should have been the third out of the inning, so every run that scores after that out is unearned.
Batter 1's run is earned
Batter 3's run is earned
Batter 4's run is unearned
Batter 5's run is unearned
Batter 7's run is unearned
4, 5 and 7 all scored after the third out of the inning (Batter 6) should have been recorded. Additionally, Batter 4 reached base because of an error so they would have been unearnd, regardless of when they scored.
By the way, was it really necessary to post this on EVERY region's board?