Nutivaara, a defenseman, gave the Blue Jackets a 1-0 lead when Murray passed through the left face-off circle to him alone at the net for a tap-in at 10:17.
"I just came off the bench and saw an opportunity," Murray said. "I was really surprised it was [Nutivaara] putting it in on the backdoor. We had a good laugh about it."
Haula tied the game 1-1 27 seconds later when he scored his fifth goal in six games. Three quick passes led to Haula finishing a feed from Ryan Dzingel from the slot at 10:44.
Hamilton scored for the fourth straight game to give the Hurricanes a 2-1 lead at 2:51 of the second. With the puck on its edge, he sent a slap shot under the crossbar.
Jaccob Slavin got the primary assist on Hamilton's goal to extend his point streak to five games (two goals, three assists).
Bjorkstrand tied it 2-2 17 seconds later. He skated the puck from behind the net to the high slot and scored unassisted on a wrist shot at 3:08.
"It happens fast, but it's kind of instincts," Bjorkstrand said. "You come from behind the net and see a little ice, and you try to go for it. That was a situation where I could take advantage of it, and I got the shot through."
Columbus limited Carolina's high-quality chances down the stretch, including the final 2:10 when Reimer was pulled for an extra attacker.
"Not just the last two minutes, the whole third period," Korpisalo said. "I didn't have to do any big saves or anything. I saw the puck, (we were) clearing rebounds. I think we played really, really well when we were leading 3-2."