The correct difference between first- and second-order reactions is that

the rate of a first-order reaction does dependon reactant concentrations; the rate of a second-order reaction does not depend on reactant concentrations

a first-order reaction can be catalyzed; a second-order reaction cannot be catalyzed

the half-life of a first-order reaction does not depend on $$[A]_{0}$$ the half-life of a second-order reaction does depend on $$[A]_{0}$$

the rate of a first-order reaction does not depend on reactant concentrations; the rate of a second-order reaction does depend on reactant concentrations