The Jets have won back-to-back games after losing seven of nine.
Carolina came back from a one-goal deficit on three occasions, but they could not answer Wheeler's late tally.
Wheeler also scored 1:53 into the opening period, but Carolina tied it on a Jiri Tlusty tip-in with 1:21 to go before the first intermission.
It remained a 1-1 game until a flurry of scoring made for an entertaining third period.
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