Baroka carved out the first chance of the game in the fifth minute, but Siphelele Ntshangase failed to direct his header on target from close range.
The visitors had a chance of their own five minutes later, but Bongii Ntuli could only fire into the side-netting from point-blank range.
The game was evenly poised after 20 minutes, although chances were hard to come by for both sides.
However, Dikwena broke the deadlock on 35 minutes, as Katlego Otladisa collected a pass on the edge of the box and calmly slotted into the bottom corner, 0-1.
That proved to be the final bit of goal-mouth action of the half, as Stars went into the break leading by the one goal.
Roger De Sa opted for a change at the start of the second half, as Enocent Mkhabela replaced Raymond Monama.
However, it was Baroka who got the next goal as Mpho Kgaswane found the back of the net, with a superb left-footed strike into top corner from 20-yards out, 1-1.
Dikwena squandered a chance to restore their lead in the 73rd minute, when Ntuli rounded goalkeeper Virgil Vries, but was then let down by his poor touch.
The visitors eventually restored their lead in the 86th minute courtesy of a strike from talisman Robert Ng'ambi, 1-2.
Stars' joy was short-lived as Baroka leveled matters two minutes later, as Robin Ngalande found the back of the net for the second successive game, 2-2.
That proved to be the final piece of action in the half, as the sides settled for a share of the spoils.