In laryngeal cancer (assuming no pharyngeal extension) with level II/III involvement, should RPs and level IB on the involved side be covered?   

I do not cover RP, level Ib, or level V electively in the scenario you describe. I will cover level VI if the disease has broken through thyroid cartilage into soft tissues anteriorly (usually these patients go for total laryngectomy) or if there's subglottic extension.