Goal-scorer Henriksen was booked for dissent on 74 minutes after being caught offside.
Two minutes later, the striker was denied from close range by a brilliant Musselwhite save with the keeper then recovering to tip away Henriksen's follow-up effort.
Harriers racked up their fourth booking of the game when Williams was cautioned after a tackle on Dudfield.
Hull brought on Johnson for Jevons on 80 minutes, while Harriers replaced Melligan and Hinton with Bennett and Smith eight minutes from time.
Broughton missed another chance, giving Musselwhite a comfortable save, before Henriksen shot wide under pressure moments later.
Ayres was the fifth Harriers booking on 90 minutes for a foul on Johnson.
Flynn was also shown the yellow card for a challenge on Johnson.
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