An injury time penalty from Reece saw Harriers come from behind twice to earn a point against ten-man Torquay in a 2-2 Aggborough draw.
Harriers had to deal with an expected physical barrage in the opening moments as they dealt with some early corners, and it was the hosts who had the first chance of the game on ten minutes when a mazy run from Tahvon Campbell ended in a shot from the youngster that was saved well by Fabian Spiess.
Up at the other end, James Hurst knocked a ball against the upright as he tried to wrestle away from the challenge of Jared Hodgkiss, but the Gulls man had his goal just a few minutes later as he beautifully curled a free-kick up and over the wall from 20 yards to beat the dive of Palmer.
Aman Verma's looping header a minute later almost registered Harriers an instant response, Lathaniel Rowe-Turner seeing a similar effort go likewise as he rose to meet a Campbell free-kick.
Torquay were in charge for most of the half and almost found a second through Louis Briscoe, though his effort before the half-hour lashed over the bar, Harriers also hitting off target just after as great industry from the hosts ended in Singh again turning in the area and shooting past the far post.
Four before the break, the home side had their best chances of the game by some distance when, first, Styche's intelligent cross was nodded at goal at the far post, only to be clawed away by a fantastic save from Spiess. The stopper was then beaten less than a minute later as Styche lobbed him from distance, the ball rising over him and landing, agonisingly, on top of the bar.
There was a flashpoint just a few minutes in to the second half as Harriers looked to continue in the fashion they ended the first - Styche charging forward with the ball when he was needlessly brought down by Simon Heslop, whose reckless challenge earned him a red card.
The hosts almost capitalised immediately when a delivery into the area was met by Rowe-Turner, but another excellent, one-handed save from Spiess saw the ball turned over the bar. The pressure kept coming, though, and just ten minutes after the interval Harriers were level when Aman Verma nodded in from close range to force home another delivery into the area.
Immediately, Torquay were almost back in front when a dangerous free-kick saw Fisher force a free header over the bar from six yards, Hurst then drilling an effort straight at Palmer with 62 on the clock.
United would be back in front, though. Once again luck deserted Harriers when a firm strike from Briscoe, heading a country mile wide of the target, was deflected in to the path of Hurst who, from six yards, poked the ball under Palmer for his second.
Harriers once again tried to muster a comeback, Campbell with a shot that was comfortable enough for Spiess, Styche guiding a header wide of the target off a Green delivery and Singh again turning sharply in the area before seeing the goalkeeper again in good form.
Just when most seemed lost, Harriers got a reward for their constant endeavour - sub Spencer was hauled down in the area as he looked to meet a ball into the box, Styche the coolest man in the stadium as he calmly dispatched the resultant penalty from 12 yards.