The Timekeepers, a harrowing drama mounted on a tiny stage by a company only in its second season, swept six of its six nominations including best play at the 38th Carbonell Awards Monday night. Those wins, along with a best director award for the fledgling Slow Burn Theatre Company’s musical next to normal, was greeted as a sign that young theaters could make inroads in a program dominated by a handful of venerable and well-funded troupes.