Crawley, who like Rovers have also gone four matches without victory, carried more threat in the second half at the Broadfield Stadium but lacked a cutting edge.
Winger Nicky Adams had a low drive blocked by Jamie McCombe before Josh Simpson drove Crawley ahead on 25 minutes.
Midfielder Simpson latched onto a ball from Adams and fired home from 20yards to the right of keeper Gary Woods.
Crawley lost Simpson with a leg injury before Rovers levelled two minutes from the break when David Cotterill crossed deep to the far post where James Husband struck with a diving header.
Keeper Woods came to Rovers' rescue by producing two important saves in less than a minute from the hour mark in denying Billy Clarke and defender Mustapha Dumbuya.
Striker Jamie Proctor had a chance to win it for Crawley in the 65th minute but headed wastefully over from close range following a cross by the hard-working Clarke.