please cite a rule. I believe the rule on the play is if you are trying to tag him you are right. But if there is no play the batter can run until he enters the dugout. I defer to someone with a cite.
You said:
"Batter is out going to first if he runs out of the base line."
NO HE IS NOT....
He never ran outside the baseline. Look at the video again please, 39- 47 seconds... Sheesh...
And then go read the rules again or maybe once in your case......