Exeter attacked from the start and Roscoe volleyed wide after just 15 seconds.
Breslan crossed from the right and the former Liverpool trainee crashed a low effort passed the post from 15 yards.
Harriers went straight down the other end to win a corner.
From the set-piece Appleby fizzed the ball across the face of goal and Henriksen turned to shoot only for keeper Van Heusden to block with his legs.
Brock claimed a header from Curran as the early exchanges continued at an entertaining pace.
Harriers right-back Clarkson made a rare excursion upfield to fire a 30-yarder over the bar on four minutes.
Bennett, looking for his fifth goal in as many league games, tried his luck on 11 minutes but his deflected drive was well held by Van Heusden.
On 14 minutes the inspired Bennett flicked the ball past his marker and raced clear down the left before crossing low for Larkin.
But the on-loan teenager was let down by his first touch and he gave Van Heusden the chance to come out of his goal and parry.
Larkin was in the action again five minutes later, heading onto the top of the net after good work from Stamps on the left.
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